[{"data":1,"prerenderedAt":4373},["ShallowReactive",2],{"subject-categories-math":3,"formula-de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fkotangens":546,"formula-related-de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fkotangens":4360},[4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,177,178,179,180,181,182,183,184,185,186,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545],{"category":5},"algebra",{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":65},"arithmetic",{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":101},"calculus",{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":172},"differential-equations",{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":187},"discrete-math",{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":208},"functions",{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":247},"geometry",{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":312},"linear-algebra",{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":368},"multivariable-calculus",{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":391},"numerics",{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":412},"sequences-series",{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":441},"stochastics",{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":518},"trigonometry",{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"id":547,"title":548,"aliases":549,"body":556,"category":518,"checks":4264,"conditions":4290,"conditionsHtml":4291,"deprecated":4292,"description":4258,"extension":4293,"figure":4294,"figureCaption":4295,"figureHtml":4329,"formulaId":4330,"latex":4331,"latexHtml":4332,"level":4333,"meta":4334,"navigation":4303,"path":4335,"redirectFrom":4336,"related":4337,"seo":4342,"stem":4343,"subject":585,"summary":4344,"tags":4345,"variables":4351,"__hash__":4359},"formulas_de\u002Fde\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fkotangens.md","Kotangens",[550,551,552,553,554,555],"cot","cot x","Kotangens berechnen","cot = cos \u002F sin","Cotangens","Kotangens Taschenrechner",{"type":557,"value":558,"toc":4257},"minimark",[559,564,572,1171,1207,1352,1355,1606,1873,1877,2114,2737,3094,3215,3427,3431],[560,561,563],"h2",{"id":562},"erklärung","Erklärung",[565,566,567,568,571],"p",{},"Der ",[569,570,548],"strong",{}," ist der Quotient aus Kosinus und Sinus. Wo der Tangens existiert und nicht null ist, ist der Kotangens sein Kehrwert.",[565,573,574,575,708,709,783,784,783,848,912,913,977,978,1006,1007,1170],{},"Er ist überall definiert, wo ",[576,577,580,618],"span",{"className":578},[579],"katex",[576,581,584],{"className":582},[583],"katex-mathml",[585,586,588],"math",{"xmlns":587},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[589,590,591,613],"semantics",{},[592,593,594,598,602,605,609],"mrow",{},[595,596,597],"mi",{},"sin",[599,600,601],"mo",{},"⁡",[595,603,604],{},"x",[599,606,608],{"mathvariant":607},"normal","≠",[610,611,612],"mn",{},"0",[614,615,617],"annotation",{"encoding":616},"application\u002Fx-tex","\\sin x \\neq 0",[576,619,623,698],{"className":620,"ariaHidden":622},[621],"katex-html","true",[576,624,627,632,636,641,646,650,695],{"className":625},[626],"base",[576,628],{"className":629,"style":631},[630],"strut","height:0.8889em;vertical-align:-0.1944em;",[576,633,597],{"className":634},[635],"mop",[576,637],{"className":638,"style":640},[639],"mspace","margin-right:0.1667em;",[576,642,604],{"className":643},[644,645],"mord","mathnormal",[576,647],{"className":648,"style":649},[639],"margin-right:0.2778em;",[576,651,654,687,691],{"className":652},[653],"mrel",[576,655,657],{"className":656},[653],[576,658,661],{"className":659},[644,660],"vbox",[576,662,665],{"className":663},[664],"thinbox",[576,666,669,672,683],{"className":667},[668],"rlap",[576,670],{"className":671,"style":631},[630],[576,673,676],{"className":674},[675],"inner",[576,677,679],{"className":678},[644],[576,680,682],{"className":681},[653],"",[576,684],{"className":685},[686],"fix",[576,688],{"className":689},[639,690],"nobreak",[576,692,694],{"className":693},[653],"=",[576,696],{"className":697,"style":649},[639],[576,699,701,705],{"className":700},[626],[576,702],{"className":703,"style":704},[630],"height:0.6444em;",[576,706,612],{"className":707},[644]," ist, also nicht bei ",[576,710,712,732],{"className":711},[579],[576,713,715],{"className":714},[583],[585,716,717],{"xmlns":587},[589,718,719,729],{},[592,720,721],{},[722,723,724,726],"msup",{},[610,725,612],{},[599,727,728],{},"∘",[614,730,731],{"encoding":616},"0^\\circ",[576,733,735],{"className":734,"ariaHidden":622},[621],[576,736,738,742],{"className":737},[626],[576,739],{"className":740,"style":741},[630],"height:0.6741em;",[576,743,745,748],{"className":744},[644],[576,746,612],{"className":747},[644],[576,749,752],{"className":750},[751],"msupsub",[576,753,756],{"className":754},[755],"vlist-t",[576,757,760],{"className":758},[759],"vlist-r",[576,761,764],{"className":762,"style":741},[763],"vlist",[576,765,767,772],{"style":766},"top:-3.063em;margin-right:0.05em;",[576,768],{"className":769,"style":771},[770],"pstrut","height:2.7em;",[576,773,779],{"className":774},[775,776,777,778],"sizing","reset-size6","size3","mtight",[576,780,728],{"className":781},[782,778],"mbin",", ",[576,785,787,806],{"className":786},[579],[576,788,790],{"className":789},[583],[585,791,792],{"xmlns":587},[589,793,794,803],{},[592,795,796],{},[722,797,798,801],{},[610,799,800],{},"180",[599,802,728],{},[614,804,805],{"encoding":616},"180^\\circ",[576,807,809],{"className":808,"ariaHidden":622},[621],[576,810,812,815,819],{"className":811},[626],[576,813],{"className":814,"style":741},[630],[576,816,818],{"className":817},[644],"18",[576,820,822,825],{"className":821},[644],[576,823,612],{"className":824},[644],[576,826,828],{"className":827},[751],[576,829,831],{"className":830},[755],[576,832,834],{"className":833},[759],[576,835,837],{"className":836,"style":741},[763],[576,838,839,842],{"style":766},[576,840],{"className":841,"style":771},[770],[576,843,845],{"className":844},[775,776,777,778],[576,846,728],{"className":847},[782,778],[576,849,851,870],{"className":850},[579],[576,852,854],{"className":853},[583],[585,855,856],{"xmlns":587},[589,857,858,867],{},[592,859,860],{},[722,861,862,865],{},[610,863,864],{},"360",[599,866,728],{},[614,868,869],{"encoding":616},"360^\\circ",[576,871,873],{"className":872,"ariaHidden":622},[621],[576,874,876,879,883],{"className":875},[626],[576,877],{"className":878,"style":741},[630],[576,880,882],{"className":881},[644],"36",[576,884,886,889],{"className":885},[644],[576,887,612],{"className":888},[644],[576,890,892],{"className":891},[751],[576,893,895],{"className":894},[755],[576,896,898],{"className":897},[759],[576,899,901],{"className":900,"style":741},[763],[576,902,903,906],{"style":766},[576,904],{"className":905,"style":771},[770],[576,907,909],{"className":908},[775,776,777,778],[576,910,728],{"className":911},[782,778]," usw. Bei ",[576,914,916,935],{"className":915},[579],[576,917,919],{"className":918},[583],[585,920,921],{"xmlns":587},[589,922,923,932],{},[592,924,925],{},[722,926,927,930],{},[610,928,929],{},"90",[599,931,728],{},[614,933,934],{"encoding":616},"90^\\circ",[576,936,938],{"className":937,"ariaHidden":622},[621],[576,939,941,944,948],{"className":940},[626],[576,942],{"className":943,"style":741},[630],[576,945,947],{"className":946},[644],"9",[576,949,951,954],{"className":950},[644],[576,952,612],{"className":953},[644],[576,955,957],{"className":956},[751],[576,958,960],{"className":959},[755],[576,961,963],{"className":962},[759],[576,964,966],{"className":965,"style":741},[763],[576,967,968,971],{"style":766},[576,969],{"className":970,"style":771},[770],[576,972,974],{"className":973},[775,776,777,778],[576,975,728],{"className":976},[782,778]," ist er dagegen definiert und gleich ",[576,979,981,994],{"className":980},[579],[576,982,984],{"className":983},[583],[585,985,986],{"xmlns":587},[589,987,988,992],{},[592,989,990],{},[610,991,612],{},[614,993,612],{"encoding":616},[576,995,997],{"className":996,"ariaHidden":622},[621],[576,998,1000,1003],{"className":999},[626],[576,1001],{"className":1002,"style":704},[630],[576,1004,612],{"className":1005},[644],", obwohl dort der Tangens nicht existiert. Deshalb ist die Form ",[576,1008,1010,1042],{"className":1009},[579],[576,1011,1013],{"className":1012},[583],[585,1014,1015],{"xmlns":587},[589,1016,1017,1039],{},[592,1018,1019],{},[1020,1021,1022,1031],"mfrac",{},[592,1023,1024,1027,1029],{},[595,1025,1026],{},"cos",[599,1028,601],{},[595,1030,604],{},[592,1032,1033,1035,1037],{},[595,1034,597],{},[599,1036,601],{},[595,1038,604],{},[614,1040,1041],{"encoding":616},"\\frac{\\cos x}{\\sin x}",[576,1043,1045],{"className":1044,"ariaHidden":622},[621],[576,1046,1048,1052],{"className":1047},[626],[576,1049],{"className":1050,"style":1051},[630],"height:1.0404em;vertical-align:-0.345em;",[576,1053,1055,1060,1166],{"className":1054},[644],[576,1056],{"className":1057},[1058,1059],"mopen","nulldelimiter",[576,1061,1063],{"className":1062},[1020],[576,1064,1067,1157],{"className":1065},[755,1066],"vlist-t2",[576,1068,1070,1152],{"className":1069},[759],[576,1071,1074,1109,1120],{"className":1072,"style":1073},[763],"height:0.6954em;",[576,1075,1077,1081],{"style":1076},"top:-2.655em;",[576,1078],{"className":1079,"style":1080},[770],"height:3em;",[576,1082,1084],{"className":1083},[775,776,777,778],[576,1085,1087,1102,1106],{"className":1086},[644,778],[576,1088,1090,1094,1098],{"className":1089},[635,778],[576,1091,1093],{"className":1092},[778],"s",[576,1095,1097],{"className":1096},[778],"i",[576,1099,1101],{"className":1100},[778],"n",[576,1103],{"className":1104,"style":1105},[639,778],"margin-right:0.1952em;",[576,1107,604],{"className":1108},[644,645,778],[576,1110,1112,1115],{"style":1111},"top:-3.23em;",[576,1113],{"className":1114,"style":1080},[770],[576,1116],{"className":1117,"style":1119},[1118],"frac-line","border-bottom-width:0.04em;",[576,1121,1123,1126],{"style":1122},"top:-3.394em;",[576,1124],{"className":1125,"style":1080},[770],[576,1127,1129],{"className":1128},[775,776,777,778],[576,1130,1132,1146,1149],{"className":1131},[644,778],[576,1133,1135,1139,1143],{"className":1134},[635,778],[576,1136,1138],{"className":1137},[778],"c",[576,1140,1142],{"className":1141},[778],"o",[576,1144,1093],{"className":1145},[778],[576,1147],{"className":1148,"style":1105},[639,778],[576,1150,604],{"className":1151},[644,645,778],[576,1153,1156],{"className":1154},[1155],"vlist-s","​",[576,1158,1160],{"className":1159},[759],[576,1161,1164],{"className":1162,"style":1163},[763],"height:0.345em;",[576,1165],{},[576,1167],{"className":1168},[1169,1059],"mclose"," die allgemeinere.",[565,1172,1173,1174,1206],{},"Im rechtwinkligen Dreieck gilt für einen spitzen Winkel ",[576,1175,1177,1192],{"className":1176},[579],[576,1178,1180],{"className":1179},[583],[585,1181,1182],{"xmlns":587},[589,1183,1184,1189],{},[592,1185,1186],{},[595,1187,1188],{},"α",[614,1190,1191],{"encoding":616},"\\alpha",[576,1193,1195],{"className":1194,"ariaHidden":622},[621],[576,1196,1198,1202],{"className":1197},[626],[576,1199],{"className":1200,"style":1201},[630],"height:0.4306em;",[576,1203,1188],{"className":1204,"style":1205},[644,645],"margin-right:0.0037em;",":",[576,1208,1211],{"className":1209},[1210],"katex-display",[576,1212,1214,1244],{"className":1213},[579],[576,1215,1217],{"className":1216},[583],[585,1218,1220],{"xmlns":587,"display":1219},"block",[589,1221,1222,1241],{},[592,1223,1224,1226,1228,1230,1232],{},[595,1225,550],{},[599,1227,601],{},[595,1229,1188],{},[599,1231,694],{},[1020,1233,1234,1238],{},[1235,1236,1237],"mtext",{},"Ankathete",[1235,1239,1240],{},"Gegenkathete",[614,1242,1243],{"encoding":616},"\\cot \\alpha = \\frac{\\text{Ankathete}}{\\text{Gegenkathete}}",[576,1245,1247,1272],{"className":1246,"ariaHidden":622},[621],[576,1248,1250,1254,1257,1260,1263,1266,1269],{"className":1249},[626],[576,1251],{"className":1252,"style":1253},[630],"height:0.6151em;",[576,1255,550],{"className":1256},[635],[576,1258],{"className":1259,"style":640},[639],[576,1261,1188],{"className":1262,"style":1205},[644,645],[576,1264],{"className":1265,"style":649},[639],[576,1267,694],{"className":1268},[653],[576,1270],{"className":1271,"style":649},[639],[576,1273,1275,1279],{"className":1274},[626],[576,1276],{"className":1277,"style":1278},[630],"height:2.2519em;vertical-align:-0.8804em;",[576,1280,1282,1285,1349],{"className":1281},[644],[576,1283],{"className":1284},[1058,1059],[576,1286,1288],{"className":1287},[1020],[576,1289,1291,1340],{"className":1290},[755,1066],[576,1292,1294,1337],{"className":1293},[759],[576,1295,1298,1314,1322],{"className":1296,"style":1297},[763],"height:1.3714em;",[576,1299,1301,1304],{"style":1300},"top:-2.314em;",[576,1302],{"className":1303,"style":1080},[770],[576,1305,1307],{"className":1306},[644],[576,1308,1311],{"className":1309},[644,1310],"text",[576,1312,1240],{"className":1313},[644],[576,1315,1316,1319],{"style":1111},[576,1317],{"className":1318,"style":1080},[770],[576,1320],{"className":1321,"style":1119},[1118],[576,1323,1325,1328],{"style":1324},"top:-3.677em;",[576,1326],{"className":1327,"style":1080},[770],[576,1329,1331],{"className":1330},[644],[576,1332,1334],{"className":1333},[644,1310],[576,1335,1237],{"className":1336},[644],[576,1338,1156],{"className":1339},[1155],[576,1341,1343],{"className":1342},[759],[576,1344,1347],{"className":1345,"style":1346},[763],"height:0.8804em;",[576,1348],{},[576,1350],{"className":1351},[1169,1059],[565,1353,1354],{},"Weitere Eigenschaften:",[1356,1357,1358,1506],"ul",{},[1359,1360,1361,1364,1365,1505],"li",{},[569,1362,1363],{},"Komplementwinkel",": ",[576,1366,1368,1411],{"className":1367},[579],[576,1369,1371],{"className":1370},[583],[585,1372,1373],{"xmlns":587},[589,1374,1375,1408],{},[592,1376,1377,1379,1381,1383,1385,1388,1390,1394,1400,1403,1405],{},[595,1378,550],{},[599,1380,601],{},[595,1382,604],{},[599,1384,694],{},[595,1386,1387],{},"tan",[599,1389,601],{},[599,1391,1393],{"stretchy":1392},"false","(",[722,1395,1396,1398],{},[610,1397,929],{},[599,1399,728],{},[599,1401,1402],{},"−",[595,1404,604],{},[599,1406,1407],{"stretchy":1392},")",[614,1409,1410],{"encoding":616},"\\cot x = \\tan(90^\\circ - x)",[576,1412,1414,1438,1493],{"className":1413,"ariaHidden":622},[621],[576,1415,1417,1420,1423,1426,1429,1432,1435],{"className":1416},[626],[576,1418],{"className":1419,"style":1253},[630],[576,1421,550],{"className":1422},[635],[576,1424],{"className":1425,"style":640},[639],[576,1427,604],{"className":1428},[644,645],[576,1430],{"className":1431,"style":649},[639],[576,1433,694],{"className":1434},[653],[576,1436],{"className":1437,"style":649},[639],[576,1439,1441,1445,1448,1451,1454,1483,1487,1490],{"className":1440},[626],[576,1442],{"className":1443,"style":1444},[630],"height:1em;vertical-align:-0.25em;",[576,1446,1387],{"className":1447},[635],[576,1449,1393],{"className":1450},[1058],[576,1452,947],{"className":1453},[644],[576,1455,1457,1460],{"className":1456},[644],[576,1458,612],{"className":1459},[644],[576,1461,1463],{"className":1462},[751],[576,1464,1466],{"className":1465},[755],[576,1467,1469],{"className":1468},[759],[576,1470,1472],{"className":1471,"style":741},[763],[576,1473,1474,1477],{"style":766},[576,1475],{"className":1476,"style":771},[770],[576,1478,1480],{"className":1479},[775,776,777,778],[576,1481,728],{"className":1482},[782,778],[576,1484],{"className":1485,"style":1486},[639],"margin-right:0.2222em;",[576,1488,1402],{"className":1489},[782],[576,1491],{"className":1492,"style":1486},[639],[576,1494,1496,1499,1502],{"className":1495},[626],[576,1497],{"className":1498,"style":1444},[630],[576,1500,604],{"className":1501},[644,645],[576,1503,1407],{"className":1504},[1169],".",[1359,1507,1508,1511,1512,1543,1544,1605],{},[569,1509,1510],{},"Periode"," ",[576,1513,1515,1530],{"className":1514},[579],[576,1516,1518],{"className":1517},[583],[585,1519,1520],{"xmlns":587},[589,1521,1522,1527],{},[592,1523,1524],{},[595,1525,1526],{},"π",[614,1528,1529],{"encoding":616},"\\pi",[576,1531,1533],{"className":1532,"ariaHidden":622},[621],[576,1534,1536,1539],{"className":1535},[626],[576,1537],{"className":1538,"style":1201},[630],[576,1540,1526],{"className":1541,"style":1542},[644,645],"margin-right:0.0359em;"," (",[576,1545,1547,1564],{"className":1546},[579],[576,1548,1550],{"className":1549},[583],[585,1551,1552],{"xmlns":587},[589,1553,1554,1562],{},[592,1555,1556],{},[722,1557,1558,1560],{},[610,1559,800],{},[599,1561,728],{},[614,1563,805],{"encoding":616},[576,1565,1567],{"className":1566,"ariaHidden":622},[621],[576,1568,1570,1573,1576],{"className":1569},[626],[576,1571],{"className":1572,"style":741},[630],[576,1574,818],{"className":1575},[644],[576,1577,1579,1582],{"className":1578},[644],[576,1580,612],{"className":1581},[644],[576,1583,1585],{"className":1584},[751],[576,1586,1588],{"className":1587},[755],[576,1589,1591],{"className":1590},[759],[576,1592,1594],{"className":1593,"style":741},[763],[576,1595,1596,1599],{"style":766},[576,1597],{"className":1598,"style":771},[770],[576,1600,1602],{"className":1601},[775,776,777,778],[576,1603,728],{"className":1604},[782,778],"), wie beim Tangens.",[565,1607,1608,1609,1733,1734,1505],{},"Die meisten Taschenrechner haben keine Kotangens-Taste. Man rechnet ",[576,1610,1612,1637],{"className":1611},[579],[576,1613,1615],{"className":1614},[583],[585,1616,1617],{"xmlns":587},[589,1618,1619,1634],{},[592,1620,1621],{},[1020,1622,1623,1626],{},[610,1624,1625],{},"1",[592,1627,1628,1630,1632],{},[595,1629,1387],{},[599,1631,601],{},[595,1633,604],{},[614,1635,1636],{"encoding":616},"\\frac{1}{\\tan x}",[576,1638,1640],{"className":1639,"ariaHidden":622},[621],[576,1641,1643,1647],{"className":1642},[626],[576,1644],{"className":1645,"style":1646},[630],"height:1.1901em;vertical-align:-0.345em;",[576,1648,1650,1653,1730],{"className":1649},[644],[576,1651],{"className":1652},[1058,1059],[576,1654,1656],{"className":1655},[1020],[576,1657,1659,1722],{"className":1658},[755,1066],[576,1660,1662,1719],{"className":1661},[759],[576,1663,1666,1697,1705],{"className":1664,"style":1665},[763],"height:0.8451em;",[576,1667,1668,1671],{"style":1076},[576,1669],{"className":1670,"style":1080},[770],[576,1672,1674],{"className":1673},[775,776,777,778],[576,1675,1677,1691,1694],{"className":1676},[644,778],[576,1678,1680,1684,1688],{"className":1679},[635,778],[576,1681,1683],{"className":1682},[778],"t",[576,1685,1687],{"className":1686},[778],"a",[576,1689,1101],{"className":1690},[778],[576,1692],{"className":1693,"style":1105},[639,778],[576,1695,604],{"className":1696},[644,645,778],[576,1698,1699,1702],{"style":1111},[576,1700],{"className":1701,"style":1080},[770],[576,1703],{"className":1704,"style":1119},[1118],[576,1706,1707,1710],{"style":1122},[576,1708],{"className":1709,"style":1080},[770],[576,1711,1713],{"className":1712},[775,776,777,778],[576,1714,1716],{"className":1715},[644,778],[576,1717,1625],{"className":1718},[644,778],[576,1720,1156],{"className":1721},[1155],[576,1723,1725],{"className":1724},[759],[576,1726,1728],{"className":1727,"style":1163},[763],[576,1729],{},[576,1731],{"className":1732},[1169,1059]," oder ",[576,1735,1737,1766],{"className":1736},[579],[576,1738,1740],{"className":1739},[583],[585,1741,1742],{"xmlns":587},[589,1743,1744,1764],{},[592,1745,1746],{},[1020,1747,1748,1756],{},[592,1749,1750,1752,1754],{},[595,1751,1026],{},[599,1753,601],{},[595,1755,604],{},[592,1757,1758,1760,1762],{},[595,1759,597],{},[599,1761,601],{},[595,1763,604],{},[614,1765,1041],{"encoding":616},[576,1767,1769],{"className":1768,"ariaHidden":622},[621],[576,1770,1772,1775],{"className":1771},[626],[576,1773],{"className":1774,"style":1051},[630],[576,1776,1778,1781,1870],{"className":1777},[644],[576,1779],{"className":1780},[1058,1059],[576,1782,1784],{"className":1783},[1020],[576,1785,1787,1862],{"className":1786},[755,1066],[576,1788,1790,1859],{"className":1789},[759],[576,1791,1793,1822,1830],{"className":1792,"style":1073},[763],[576,1794,1795,1798],{"style":1076},[576,1796],{"className":1797,"style":1080},[770],[576,1799,1801],{"className":1800},[775,776,777,778],[576,1802,1804,1816,1819],{"className":1803},[644,778],[576,1805,1807,1810,1813],{"className":1806},[635,778],[576,1808,1093],{"className":1809},[778],[576,1811,1097],{"className":1812},[778],[576,1814,1101],{"className":1815},[778],[576,1817],{"className":1818,"style":1105},[639,778],[576,1820,604],{"className":1821},[644,645,778],[576,1823,1824,1827],{"style":1111},[576,1825],{"className":1826,"style":1080},[770],[576,1828],{"className":1829,"style":1119},[1118],[576,1831,1832,1835],{"style":1122},[576,1833],{"className":1834,"style":1080},[770],[576,1836,1838],{"className":1837},[775,776,777,778],[576,1839,1841,1853,1856],{"className":1840},[644,778],[576,1842,1844,1847,1850],{"className":1843},[635,778],[576,1845,1138],{"className":1846},[778],[576,1848,1142],{"className":1849},[778],[576,1851,1093],{"className":1852},[778],[576,1854],{"className":1855,"style":1105},[639,778],[576,1857,604],{"className":1858},[644,645,778],[576,1860,1156],{"className":1861},[1155],[576,1863,1865],{"className":1864},[759],[576,1866,1868],{"className":1867,"style":1163},[763],[576,1869],{},[576,1871],{"className":1872},[1169,1059],[560,1874,1876],{"id":1875},"beispiele","Beispiele",[576,1878,1880],{"className":1879},[1210],[576,1881,1883,1928],{"className":1882},[579],[576,1884,1886],{"className":1885},[583],[585,1887,1888],{"xmlns":587,"display":1219},[589,1889,1890,1925],{},[592,1891,1892,1894,1896,1903,1905,1921,1923],{},[595,1893,550],{},[599,1895,601],{},[722,1897,1898,1901],{},[610,1899,1900],{},"45",[599,1902,728],{},[599,1904,694],{},[1020,1906,1907,1909],{},[610,1908,1625],{},[592,1910,1911,1913,1915],{},[595,1912,1387],{},[599,1914,601],{},[722,1916,1917,1919],{},[610,1918,1900],{},[599,1920,728],{},[599,1922,694],{},[610,1924,1625],{},[614,1926,1927],{"encoding":616},"\\cot 45^\\circ = \\frac{1}{\\tan 45^\\circ} = 1",[576,1929,1931,1988,2105],{"className":1930,"ariaHidden":622},[621],[576,1932,1934,1938,1941,1944,1948,1979,1982,1985],{"className":1933},[626],[576,1935],{"className":1936,"style":1937},[630],"height:0.7241em;",[576,1939,550],{"className":1940},[635],[576,1942],{"className":1943,"style":640},[639],[576,1945,1947],{"className":1946},[644],"4",[576,1949,1951,1955],{"className":1950},[644],[576,1952,1954],{"className":1953},[644],"5",[576,1956,1958],{"className":1957},[751],[576,1959,1961],{"className":1960},[755],[576,1962,1964],{"className":1963},[759],[576,1965,1967],{"className":1966,"style":1937},[763],[576,1968,1970,1973],{"style":1969},"top:-3.113em;margin-right:0.05em;",[576,1971],{"className":1972,"style":771},[770],[576,1974,1976],{"className":1975},[775,776,777,778],[576,1977,728],{"className":1978},[782,778],[576,1980],{"className":1981,"style":649},[639],[576,1983,694],{"className":1984},[653],[576,1986],{"className":1987,"style":649},[639],[576,1989,1991,1995,2096,2099,2102],{"className":1990},[626],[576,1992],{"className":1993,"style":1994},[630],"height:2.0074em;vertical-align:-0.686em;",[576,1996,1998,2001,2093],{"className":1997},[644],[576,1999],{"className":2000},[1058,1059],[576,2002,2004],{"className":2003},[1020],[576,2005,2007,2084],{"className":2006},[755,1066],[576,2008,2010,2081],{"className":2009},[759],[576,2011,2014,2062,2070],{"className":2012,"style":2013},[763],"height:1.3214em;",[576,2015,2016,2019],{"style":1300},[576,2017],{"className":2018,"style":1080},[770],[576,2020,2022,2025,2028,2031],{"className":2021},[644],[576,2023,1387],{"className":2024},[635],[576,2026],{"className":2027,"style":640},[639],[576,2029,1947],{"className":2030},[644],[576,2032,2034,2037],{"className":2033},[644],[576,2035,1954],{"className":2036},[644],[576,2038,2040],{"className":2039},[751],[576,2041,2043],{"className":2042},[755],[576,2044,2046],{"className":2045},[759],[576,2047,2050],{"className":2048,"style":2049},[763],"height:0.6001em;",[576,2051,2053,2056],{"style":2052},"top:-2.989em;margin-right:0.05em;",[576,2054],{"className":2055,"style":771},[770],[576,2057,2059],{"className":2058},[775,776,777,778],[576,2060,728],{"className":2061},[782,778],[576,2063,2064,2067],{"style":1111},[576,2065],{"className":2066,"style":1080},[770],[576,2068],{"className":2069,"style":1119},[1118],[576,2071,2072,2075],{"style":1324},[576,2073],{"className":2074,"style":1080},[770],[576,2076,2078],{"className":2077},[644],[576,2079,1625],{"className":2080},[644],[576,2082,1156],{"className":2083},[1155],[576,2085,2087],{"className":2086},[759],[576,2088,2091],{"className":2089,"style":2090},[763],"height:0.686em;",[576,2092],{},[576,2094],{"className":2095},[1169,1059],[576,2097],{"className":2098,"style":649},[639],[576,2100,694],{"className":2101},[653],[576,2103],{"className":2104,"style":649},[639],[576,2106,2108,2111],{"className":2107},[626],[576,2109],{"className":2110,"style":704},[630],[576,2112,1625],{"className":2113},[644],[576,2115,2117],{"className":2116},[1210],[576,2118,2120,2198],{"className":2119},[579],[576,2121,2123],{"className":2122},[583],[585,2124,2125],{"xmlns":587,"display":1219},[589,2126,2127,2195],{},[592,2128,2129,2131,2133,2140,2142,2168,2170,2189,2191],{},[595,2130,550],{},[599,2132,601],{},[722,2134,2135,2138],{},[610,2136,2137],{},"30",[599,2139,728],{},[599,2141,694],{},[1020,2143,2144,2156],{},[592,2145,2146,2148,2150],{},[595,2147,1026],{},[599,2149,601],{},[722,2151,2152,2154],{},[610,2153,2137],{},[599,2155,728],{},[592,2157,2158,2160,2162],{},[595,2159,597],{},[599,2161,601],{},[722,2163,2164,2166],{},[610,2165,2137],{},[599,2167,728],{},[599,2169,694],{},[1020,2171,2172,2183],{},[1020,2173,2174,2180],{},[2175,2176,2177],"msqrt",{},[610,2178,2179],{},"3",[610,2181,2182],{},"2",[1020,2184,2185,2187],{},[610,2186,1625],{},[610,2188,2182],{},[599,2190,694],{},[2175,2192,2193],{},[610,2194,2179],{},[614,2196,2197],{"encoding":616},"\\cot 30^\\circ = \\frac{\\cos 30^\\circ}{\\sin 30^\\circ} = \\frac{\\frac{\\sqrt{3}}{2}}{\\frac{1}{2}} = \\sqrt{3}",[576,2199,2201,2254,2403,2680],{"className":2200,"ariaHidden":622},[621],[576,2202,2204,2207,2210,2213,2216,2245,2248,2251],{"className":2203},[626],[576,2205],{"className":2206,"style":1937},[630],[576,2208,550],{"className":2209},[635],[576,2211],{"className":2212,"style":640},[639],[576,2214,2179],{"className":2215},[644],[576,2217,2219,2222],{"className":2218},[644],[576,2220,612],{"className":2221},[644],[576,2223,2225],{"className":2224},[751],[576,2226,2228],{"className":2227},[755],[576,2229,2231],{"className":2230},[759],[576,2232,2234],{"className":2233,"style":1937},[763],[576,2235,2236,2239],{"style":1969},[576,2237],{"className":2238,"style":771},[770],[576,2240,2242],{"className":2241},[775,776,777,778],[576,2243,728],{"className":2244},[782,778],[576,2246],{"className":2247,"style":649},[639],[576,2249,694],{"className":2250},[653],[576,2252],{"className":2253,"style":649},[639],[576,2255,2257,2261,2394,2397,2400],{"className":2256},[626],[576,2258],{"className":2259,"style":2260},[630],"height:2.0371em;vertical-align:-0.686em;",[576,2262,2264,2267,2391],{"className":2263},[644],[576,2265],{"className":2266},[1058,1059],[576,2268,2270],{"className":2269},[1020],[576,2271,2273,2383],{"className":2272},[755,1066],[576,2274,2276,2380],{"className":2275},[759],[576,2277,2280,2326,2334],{"className":2278,"style":2279},[763],"height:1.3511em;",[576,2281,2282,2285],{"style":1300},[576,2283],{"className":2284,"style":1080},[770],[576,2286,2288,2291,2294,2297],{"className":2287},[644],[576,2289,597],{"className":2290},[635],[576,2292],{"className":2293,"style":640},[639],[576,2295,2179],{"className":2296},[644],[576,2298,2300,2303],{"className":2299},[644],[576,2301,612],{"className":2302},[644],[576,2304,2306],{"className":2305},[751],[576,2307,2309],{"className":2308},[755],[576,2310,2312],{"className":2311},[759],[576,2313,2315],{"className":2314,"style":2049},[763],[576,2316,2317,2320],{"style":2052},[576,2318],{"className":2319,"style":771},[770],[576,2321,2323],{"className":2322},[775,776,777,778],[576,2324,728],{"className":2325},[782,778],[576,2327,2328,2331],{"style":1111},[576,2329],{"className":2330,"style":1080},[770],[576,2332],{"className":2333,"style":1119},[1118],[576,2335,2336,2339],{"style":1324},[576,2337],{"className":2338,"style":1080},[770],[576,2340,2342,2345,2348,2351],{"className":2341},[644],[576,2343,1026],{"className":2344},[635],[576,2346],{"className":2347,"style":640},[639],[576,2349,2179],{"className":2350},[644],[576,2352,2354,2357],{"className":2353},[644],[576,2355,612],{"className":2356},[644],[576,2358,2360],{"className":2359},[751],[576,2361,2363],{"className":2362},[755],[576,2364,2366],{"className":2365},[759],[576,2367,2369],{"className":2368,"style":741},[763],[576,2370,2371,2374],{"style":766},[576,2372],{"className":2373,"style":771},[770],[576,2375,2377],{"className":2376},[775,776,777,778],[576,2378,728],{"className":2379},[782,778],[576,2381,1156],{"className":2382},[1155],[576,2384,2386],{"className":2385},[759],[576,2387,2389],{"className":2388,"style":2090},[763],[576,2390],{},[576,2392],{"className":2393},[1169,1059],[576,2395],{"className":2396,"style":649},[639],[576,2398,694],{"className":2399},[653],[576,2401],{"className":2402,"style":649},[639],[576,2404,2406,2410,2671,2674,2677],{"className":2405},[626],[576,2407],{"className":2408,"style":2409},[630],"height:2.8531em;vertical-align:-1.0801em;",[576,2411,2413,2416,2668],{"className":2412},[644],[576,2414],{"className":2415},[1058,1059],[576,2417,2419],{"className":2418},[1020],[576,2420,2422,2659],{"className":2421},[755,1066],[576,2423,2425,2656],{"className":2424},[759],[576,2426,2429,2507,2516],{"className":2427,"style":2428},[763],"height:1.773em;",[576,2430,2432,2436],{"style":2431},"top:-2.3029em;",[576,2433],{"className":2434,"style":2435},[770],"height:3.038em;",[576,2437,2439],{"className":2438},[644],[576,2440,2442,2445,2504],{"className":2441},[644],[576,2443],{"className":2444},[1058,1059],[576,2446,2448],{"className":2447},[1020],[576,2449,2451,2496],{"className":2450},[755,1066],[576,2452,2454,2493],{"className":2453},[759],[576,2455,2457,2471,2479],{"className":2456,"style":1665},[763],[576,2458,2459,2462],{"style":1076},[576,2460],{"className":2461,"style":1080},[770],[576,2463,2465],{"className":2464},[775,776,777,778],[576,2466,2468],{"className":2467},[644,778],[576,2469,2182],{"className":2470},[644,778],[576,2472,2473,2476],{"style":1111},[576,2474],{"className":2475,"style":1080},[770],[576,2477],{"className":2478,"style":1119},[1118],[576,2480,2481,2484],{"style":1122},[576,2482],{"className":2483,"style":1080},[770],[576,2485,2487],{"className":2486},[775,776,777,778],[576,2488,2490],{"className":2489},[644,778],[576,2491,1625],{"className":2492},[644,778],[576,2494,1156],{"className":2495},[1155],[576,2497,2499],{"className":2498},[759],[576,2500,2502],{"className":2501,"style":1163},[763],[576,2503],{},[576,2505],{"className":2506},[1169,1059],[576,2508,2510,2513],{"style":2509},"top:-3.268em;",[576,2511],{"className":2512,"style":2435},[770],[576,2514],{"className":2515,"style":1119},[1118],[576,2517,2519,2522],{"style":2518},"top:-3.773em;",[576,2520],{"className":2521,"style":2435},[770],[576,2523,2525],{"className":2524},[644],[576,2526,2528,2531,2653],{"className":2527},[644],[576,2529],{"className":2530},[1058,1059],[576,2532,2534],{"className":2533},[1020],[576,2535,2537,2645],{"className":2536},[755,1066],[576,2538,2540,2642],{"className":2539},[759],[576,2541,2544,2558,2566],{"className":2542,"style":2543},[763],"height:1.038em;",[576,2545,2546,2549],{"style":1076},[576,2547],{"className":2548,"style":1080},[770],[576,2550,2552],{"className":2551},[775,776,777,778],[576,2553,2555],{"className":2554},[644,778],[576,2556,2182],{"className":2557},[644,778],[576,2559,2560,2563],{"style":1111},[576,2561],{"className":2562,"style":1080},[770],[576,2564],{"className":2565,"style":1119},[1118],[576,2567,2569,2572],{"style":2568},"top:-3.399em;",[576,2570],{"className":2571,"style":1080},[770],[576,2573,2575],{"className":2574},[775,776,777,778],[576,2576,2578],{"className":2577},[644,778],[576,2579,2582],{"className":2580},[644,2581,778],"sqrt",[576,2583,2585,2633],{"className":2584},[755,1066],[576,2586,2588,2630],{"className":2587},[759],[576,2589,2592,2607],{"className":2590,"style":2591},[763],"height:0.9128em;",[576,2593,2597,2600],{"className":2594,"style":2596},[2595],"svg-align","top:-3em;",[576,2598],{"className":2599,"style":1080},[770],[576,2601,2604],{"className":2602,"style":2603},[644,778],"padding-left:0.833em;",[576,2605,2179],{"className":2606},[644,778],[576,2608,2610,2613],{"style":2609},"top:-2.8728em;",[576,2611],{"className":2612,"style":1080},[770],[576,2614,2618],{"className":2615,"style":2617},[2616,778],"hide-tail","min-width:0.853em;height:1.08em;",[2619,2620,2626],"svg",{"xmlns":2621,"width":2622,"height":2623,"viewBox":2624,"preserveAspectRatio":2625},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","400em","1.08em","0 0 400000 1080","xMinYMin slice",[2627,2628],"path",{"d":2629},"M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 -0\nc5.3,-9.3,12,-14,20,-14\nH400000v40H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM834 80h400000v40h-400000z",[576,2631,1156],{"className":2632},[1155],[576,2634,2636],{"className":2635},[759],[576,2637,2640],{"className":2638,"style":2639},[763],"height:0.1272em;",[576,2641],{},[576,2643,1156],{"className":2644},[1155],[576,2646,2648],{"className":2647},[759],[576,2649,2651],{"className":2650,"style":1163},[763],[576,2652],{},[576,2654],{"className":2655},[1169,1059],[576,2657,1156],{"className":2658},[1155],[576,2660,2662],{"className":2661},[759],[576,2663,2666],{"className":2664,"style":2665},[763],"height:1.0801em;",[576,2667],{},[576,2669],{"className":2670},[1169,1059],[576,2672],{"className":2673,"style":649},[639],[576,2675,694],{"className":2676},[653],[576,2678],{"className":2679,"style":649},[639],[576,2681,2683,2687],{"className":2682},[626],[576,2684],{"className":2685,"style":2686},[630],"height:1.04em;vertical-align:-0.0839em;",[576,2688,2690],{"className":2689},[644,2581],[576,2691,2693,2728],{"className":2692},[755,1066],[576,2694,2696,2725],{"className":2695},[759],[576,2697,2700,2712],{"className":2698,"style":2699},[763],"height:0.9561em;",[576,2701,2703,2706],{"className":2702,"style":2596},[2595],[576,2704],{"className":2705,"style":1080},[770],[576,2707,2709],{"className":2708,"style":2603},[644],[576,2710,2179],{"className":2711},[644],[576,2713,2715,2718],{"style":2714},"top:-2.9161em;",[576,2716],{"className":2717,"style":1080},[770],[576,2719,2721],{"className":2720,"style":2617},[2616],[2619,2722,2723],{"xmlns":2621,"width":2622,"height":2623,"viewBox":2624,"preserveAspectRatio":2625},[2627,2724],{"d":2629},[576,2726,1156],{"className":2727},[1155],[576,2729,2731],{"className":2730},[759],[576,2732,2735],{"className":2733,"style":2734},[763],"height:0.0839em;",[576,2736],{},[576,2738,2740],{"className":2739},[1210],[576,2741,2743,2805],{"className":2742},[579],[576,2744,2746],{"className":2745},[583],[585,2747,2748],{"xmlns":587,"display":1219},[589,2749,2750,2802],{},[592,2751,2752,2754,2756,2762,2764,2790,2792,2798,2800],{},[595,2753,550],{},[599,2755,601],{},[722,2757,2758,2760],{},[610,2759,929],{},[599,2761,728],{},[599,2763,694],{},[1020,2765,2766,2778],{},[592,2767,2768,2770,2772],{},[595,2769,1026],{},[599,2771,601],{},[722,2773,2774,2776],{},[610,2775,929],{},[599,2777,728],{},[592,2779,2780,2782,2784],{},[595,2781,597],{},[599,2783,601],{},[722,2785,2786,2788],{},[610,2787,929],{},[599,2789,728],{},[599,2791,694],{},[1020,2793,2794,2796],{},[610,2795,612],{},[610,2797,1625],{},[599,2799,694],{},[610,2801,612],{},[614,2803,2804],{"encoding":616},"\\cot 90^\\circ = \\frac{\\cos 90^\\circ}{\\sin 90^\\circ} = \\frac{0}{1} = 0",[576,2806,2808,2861,3008,3085],{"className":2807,"ariaHidden":622},[621],[576,2809,2811,2814,2817,2820,2823,2852,2855,2858],{"className":2810},[626],[576,2812],{"className":2813,"style":1937},[630],[576,2815,550],{"className":2816},[635],[576,2818],{"className":2819,"style":640},[639],[576,2821,947],{"className":2822},[644],[576,2824,2826,2829],{"className":2825},[644],[576,2827,612],{"className":2828},[644],[576,2830,2832],{"className":2831},[751],[576,2833,2835],{"className":2834},[755],[576,2836,2838],{"className":2837},[759],[576,2839,2841],{"className":2840,"style":1937},[763],[576,2842,2843,2846],{"style":1969},[576,2844],{"className":2845,"style":771},[770],[576,2847,2849],{"className":2848},[775,776,777,778],[576,2850,728],{"className":2851},[782,778],[576,2853],{"className":2854,"style":649},[639],[576,2856,694],{"className":2857},[653],[576,2859],{"className":2860,"style":649},[639],[576,2862,2864,2867,2999,3002,3005],{"className":2863},[626],[576,2865],{"className":2866,"style":2260},[630],[576,2868,2870,2873,2996],{"className":2869},[644],[576,2871],{"className":2872},[1058,1059],[576,2874,2876],{"className":2875},[1020],[576,2877,2879,2988],{"className":2878},[755,1066],[576,2880,2882,2985],{"className":2881},[759],[576,2883,2885,2931,2939],{"className":2884,"style":2279},[763],[576,2886,2887,2890],{"style":1300},[576,2888],{"className":2889,"style":1080},[770],[576,2891,2893,2896,2899,2902],{"className":2892},[644],[576,2894,597],{"className":2895},[635],[576,2897],{"className":2898,"style":640},[639],[576,2900,947],{"className":2901},[644],[576,2903,2905,2908],{"className":2904},[644],[576,2906,612],{"className":2907},[644],[576,2909,2911],{"className":2910},[751],[576,2912,2914],{"className":2913},[755],[576,2915,2917],{"className":2916},[759],[576,2918,2920],{"className":2919,"style":2049},[763],[576,2921,2922,2925],{"style":2052},[576,2923],{"className":2924,"style":771},[770],[576,2926,2928],{"className":2927},[775,776,777,778],[576,2929,728],{"className":2930},[782,778],[576,2932,2933,2936],{"style":1111},[576,2934],{"className":2935,"style":1080},[770],[576,2937],{"className":2938,"style":1119},[1118],[576,2940,2941,2944],{"style":1324},[576,2942],{"className":2943,"style":1080},[770],[576,2945,2947,2950,2953,2956],{"className":2946},[644],[576,2948,1026],{"className":2949},[635],[576,2951],{"className":2952,"style":640},[639],[576,2954,947],{"className":2955},[644],[576,2957,2959,2962],{"className":2958},[644],[576,2960,612],{"className":2961},[644],[576,2963,2965],{"className":2964},[751],[576,2966,2968],{"className":2967},[755],[576,2969,2971],{"className":2970},[759],[576,2972,2974],{"className":2973,"style":741},[763],[576,2975,2976,2979],{"style":766},[576,2977],{"className":2978,"style":771},[770],[576,2980,2982],{"className":2981},[775,776,777,778],[576,2983,728],{"className":2984},[782,778],[576,2986,1156],{"className":2987},[1155],[576,2989,2991],{"className":2990},[759],[576,2992,2994],{"className":2993,"style":2090},[763],[576,2995],{},[576,2997],{"className":2998},[1169,1059],[576,3000],{"className":3001,"style":649},[639],[576,3003,694],{"className":3004},[653],[576,3006],{"className":3007,"style":649},[639],[576,3009,3011,3014,3076,3079,3082],{"className":3010},[626],[576,3012],{"className":3013,"style":1994},[630],[576,3015,3017,3020,3073],{"className":3016},[644],[576,3018],{"className":3019},[1058,1059],[576,3021,3023],{"className":3022},[1020],[576,3024,3026,3065],{"className":3025},[755,1066],[576,3027,3029,3062],{"className":3028},[759],[576,3030,3032,3043,3051],{"className":3031,"style":2013},[763],[576,3033,3034,3037],{"style":1300},[576,3035],{"className":3036,"style":1080},[770],[576,3038,3040],{"className":3039},[644],[576,3041,1625],{"className":3042},[644],[576,3044,3045,3048],{"style":1111},[576,3046],{"className":3047,"style":1080},[770],[576,3049],{"className":3050,"style":1119},[1118],[576,3052,3053,3056],{"style":1324},[576,3054],{"className":3055,"style":1080},[770],[576,3057,3059],{"className":3058},[644],[576,3060,612],{"className":3061},[644],[576,3063,1156],{"className":3064},[1155],[576,3066,3068],{"className":3067},[759],[576,3069,3071],{"className":3070,"style":2090},[763],[576,3072],{},[576,3074],{"className":3075},[1169,1059],[576,3077],{"className":3078,"style":649},[639],[576,3080,694],{"className":3081},[653],[576,3083],{"className":3084,"style":649},[639],[576,3086,3088,3091],{"className":3087},[626],[576,3089],{"className":3090,"style":704},[630],[576,3092,612],{"className":3093},[644],[565,3095,3096,3097,3125,3126,3171,3172,1206],{},"In einem rechtwinkligen Dreieck hat der Winkel ",[576,3098,3100,3113],{"className":3099},[579],[576,3101,3103],{"className":3102},[583],[585,3104,3105],{"xmlns":587},[589,3106,3107,3111],{},[592,3108,3109],{},[595,3110,1188],{},[614,3112,1191],{"encoding":616},[576,3114,3116],{"className":3115,"ariaHidden":622},[621],[576,3117,3119,3122],{"className":3118},[626],[576,3120],{"className":3121,"style":1201},[630],[576,3123,1188],{"className":3124,"style":1205},[644,645]," die Ankathete ",[576,3127,3129,3150],{"className":3128},[579],[576,3130,3132],{"className":3131},[583],[585,3133,3134],{"xmlns":587},[589,3135,3136,3147],{},[592,3137,3138,3141,3144],{},[610,3139,3140],{},"8",[1235,3142,3143],{}," ",[1235,3145,3146],{},"cm",[614,3148,3149],{"encoding":616},"8\\,\\text{cm}",[576,3151,3153],{"className":3152,"ariaHidden":622},[621],[576,3154,3156,3159,3162,3165],{"className":3155},[626],[576,3157],{"className":3158,"style":704},[630],[576,3160,3140],{"className":3161},[644],[576,3163],{"className":3164,"style":640},[639],[576,3166,3168],{"className":3167},[644,1310],[576,3169,3146],{"className":3170},[644]," und die Gegenkathete ",[576,3173,3175,3194],{"className":3174},[579],[576,3176,3178],{"className":3177},[583],[585,3179,3180],{"xmlns":587},[589,3181,3182,3191],{},[592,3183,3184,3187,3189],{},[610,3185,3186],{},"6",[1235,3188,3143],{},[1235,3190,3146],{},[614,3192,3193],{"encoding":616},"6\\,\\text{cm}",[576,3195,3197],{"className":3196,"ariaHidden":622},[621],[576,3198,3200,3203,3206,3209],{"className":3199},[626],[576,3201],{"className":3202,"style":704},[630],[576,3204,3186],{"className":3205},[644],[576,3207],{"className":3208,"style":640},[639],[576,3210,3212],{"className":3211},[644,1310],[576,3213,3146],{"className":3214},[644],[576,3216,3218],{"className":3217},[1210],[576,3219,3221,3255],{"className":3220},[579],[576,3222,3224],{"className":3223},[583],[585,3225,3226],{"xmlns":587,"display":1219},[589,3227,3228,3252],{},[592,3229,3230,3232,3234,3236,3238,3244,3246],{},[595,3231,550],{},[599,3233,601],{},[595,3235,1188],{},[599,3237,694],{},[1020,3239,3240,3242],{},[610,3241,3140],{},[610,3243,3186],{},[599,3245,694],{},[1020,3247,3248,3250],{},[610,3249,1947],{},[610,3251,2179],{},[614,3253,3254],{"encoding":616},"\\cot \\alpha = \\frac{8}{6} = \\frac{4}{3}",[576,3256,3258,3282,3359],{"className":3257,"ariaHidden":622},[621],[576,3259,3261,3264,3267,3270,3273,3276,3279],{"className":3260},[626],[576,3262],{"className":3263,"style":1253},[630],[576,3265,550],{"className":3266},[635],[576,3268],{"className":3269,"style":640},[639],[576,3271,1188],{"className":3272,"style":1205},[644,645],[576,3274],{"className":3275,"style":649},[639],[576,3277,694],{"className":3278},[653],[576,3280],{"className":3281,"style":649},[639],[576,3283,3285,3288,3350,3353,3356],{"className":3284},[626],[576,3286],{"className":3287,"style":1994},[630],[576,3289,3291,3294,3347],{"className":3290},[644],[576,3292],{"className":3293},[1058,1059],[576,3295,3297],{"className":3296},[1020],[576,3298,3300,3339],{"className":3299},[755,1066],[576,3301,3303,3336],{"className":3302},[759],[576,3304,3306,3317,3325],{"className":3305,"style":2013},[763],[576,3307,3308,3311],{"style":1300},[576,3309],{"className":3310,"style":1080},[770],[576,3312,3314],{"className":3313},[644],[576,3315,3186],{"className":3316},[644],[576,3318,3319,3322],{"style":1111},[576,3320],{"className":3321,"style":1080},[770],[576,3323],{"className":3324,"style":1119},[1118],[576,3326,3327,3330],{"style":1324},[576,3328],{"className":3329,"style":1080},[770],[576,3331,3333],{"className":3332},[644],[576,3334,3140],{"className":3335},[644],[576,3337,1156],{"className":3338},[1155],[576,3340,3342],{"className":3341},[759],[576,3343,3345],{"className":3344,"style":2090},[763],[576,3346],{},[576,3348],{"className":3349},[1169,1059],[576,3351],{"className":3352,"style":649},[639],[576,3354,694],{"className":3355},[653],[576,3357],{"className":3358,"style":649},[639],[576,3360,3362,3365],{"className":3361},[626],[576,3363],{"className":3364,"style":1994},[630],[576,3366,3368,3371,3424],{"className":3367},[644],[576,3369],{"className":3370},[1058,1059],[576,3372,3374],{"className":3373},[1020],[576,3375,3377,3416],{"className":3376},[755,1066],[576,3378,3380,3413],{"className":3379},[759],[576,3381,3383,3394,3402],{"className":3382,"style":2013},[763],[576,3384,3385,3388],{"style":1300},[576,3386],{"className":3387,"style":1080},[770],[576,3389,3391],{"className":3390},[644],[576,3392,2179],{"className":3393},[644],[576,3395,3396,3399],{"style":1111},[576,3397],{"className":3398,"style":1080},[770],[576,3400],{"className":3401,"style":1119},[1118],[576,3403,3404,3407],{"style":1324},[576,3405],{"className":3406,"style":1080},[770],[576,3408,3410],{"className":3409},[644],[576,3411,1947],{"className":3412},[644],[576,3414,1156],{"className":3415},[1155],[576,3417,3419],{"className":3418},[759],[576,3420,3422],{"className":3421,"style":2090},[763],[576,3423],{},[576,3425],{"className":3426},[1169,1059],[560,3428,3430],{"id":3429},"typische-fehler","Typische Fehler",[1356,3432,3433,3938,4254],{},[1359,3434,3435,3436,3511,3512,3575,3576,3835,3836,3908,3909,3937],{},"Die Taste ",[576,3437,3439,3465],{"className":3438},[579],[576,3440,3442],{"className":3441},[583],[585,3443,3444],{"xmlns":587},[589,3445,3446,3462],{},[592,3447,3448],{},[722,3449,3450,3456],{},[592,3451,3452,3454],{},[595,3453,1387],{},[599,3455,601],{},[592,3457,3458,3460],{},[599,3459,1402],{},[610,3461,1625],{},[614,3463,3464],{"encoding":616},"\\tan^{-1}",[576,3466,3468],{"className":3467,"ariaHidden":622},[621],[576,3469,3471,3475],{"className":3470},[626],[576,3472],{"className":3473,"style":3474},[630],"height:0.8191em;",[576,3476,3478,3481],{"className":3477},[635],[576,3479,1387],{"className":3480},[635],[576,3482,3484],{"className":3483},[751],[576,3485,3487],{"className":3486},[755],[576,3488,3490],{"className":3489},[759],[576,3491,3493],{"className":3492,"style":3474},[763],[576,3494,3496,3499],{"style":3495},"top:-3.068em;margin-right:0.05em;",[576,3497],{"className":3498,"style":771},[770],[576,3500,3502],{"className":3501},[775,776,777,778],[576,3503,3505,3508],{"className":3504},[644,778],[576,3506,1402],{"className":3507},[644,778],[576,3509,1625],{"className":3510},[644,778]," für den Kotangens halten. Sie berechnet den Arkustangens (die Umkehrfunktion), nicht den Kehrwert. Bei ",[576,3513,3515,3534],{"className":3514},[579],[576,3516,3518],{"className":3517},[583],[585,3519,3520],{"xmlns":587},[589,3521,3522,3531],{},[592,3523,3524],{},[722,3525,3526,3529],{},[610,3527,3528],{},"20",[599,3530,728],{},[614,3532,3533],{"encoding":616},"20^\\circ",[576,3535,3537],{"className":3536,"ariaHidden":622},[621],[576,3538,3540,3543,3546],{"className":3539},[626],[576,3541],{"className":3542,"style":741},[630],[576,3544,2182],{"className":3545},[644],[576,3547,3549,3552],{"className":3548},[644],[576,3550,612],{"className":3551},[644],[576,3553,3555],{"className":3554},[751],[576,3556,3558],{"className":3557},[755],[576,3559,3561],{"className":3560},[759],[576,3562,3564],{"className":3563,"style":741},[763],[576,3565,3566,3569],{"style":766},[576,3567],{"className":3568,"style":771},[770],[576,3570,3572],{"className":3571},[775,776,777,778],[576,3573,728],{"className":3574},[782,778]," ist ",[576,3577,3579,3625],{"className":3578},[579],[576,3580,3582],{"className":3581},[583],[585,3583,3584],{"xmlns":587},[589,3585,3586,3622],{},[592,3587,3588,3590,3592,3598,3600,3616,3619],{},[595,3589,550],{},[599,3591,601],{},[722,3593,3594,3596],{},[610,3595,3528],{},[599,3597,728],{},[599,3599,694],{},[1020,3601,3602,3604],{},[610,3603,1625],{},[592,3605,3606,3608,3610],{},[595,3607,1387],{},[599,3609,601],{},[722,3611,3612,3614],{},[610,3613,3528],{},[599,3615,728],{},[599,3617,3618],{},"≈",[610,3620,3621],{},"2,747",[614,3623,3624],{"encoding":616},"\\cot 20^\\circ = \\frac{1}{\\tan 20^\\circ} \\approx 2{,}747",[576,3626,3628,3681,3813],{"className":3627,"ariaHidden":622},[621],[576,3629,3631,3634,3637,3640,3643,3672,3675,3678],{"className":3630},[626],[576,3632],{"className":3633,"style":741},[630],[576,3635,550],{"className":3636},[635],[576,3638],{"className":3639,"style":640},[639],[576,3641,2182],{"className":3642},[644],[576,3644,3646,3649],{"className":3645},[644],[576,3647,612],{"className":3648},[644],[576,3650,3652],{"className":3651},[751],[576,3653,3655],{"className":3654},[755],[576,3656,3658],{"className":3657},[759],[576,3659,3661],{"className":3660,"style":741},[763],[576,3662,3663,3666],{"style":766},[576,3664],{"className":3665,"style":771},[770],[576,3667,3669],{"className":3668},[775,776,777,778],[576,3670,728],{"className":3671},[782,778],[576,3673],{"className":3674,"style":649},[639],[576,3676,694],{"className":3677},[653],[576,3679],{"className":3680,"style":649},[639],[576,3682,3684,3687,3804,3807,3810],{"className":3683},[626],[576,3685],{"className":3686,"style":1646},[630],[576,3688,3690,3693,3801],{"className":3689},[644],[576,3691],{"className":3692},[1058,1059],[576,3694,3696],{"className":3695},[1020],[576,3697,3699,3793],{"className":3698},[755,1066],[576,3700,3702,3790],{"className":3701},[759],[576,3703,3705,3768,3776],{"className":3704,"style":1665},[763],[576,3706,3707,3710],{"style":1076},[576,3708],{"className":3709,"style":1080},[770],[576,3711,3713],{"className":3712},[775,776,777,778],[576,3714,3716,3728,3731,3734],{"className":3715},[644,778],[576,3717,3719,3722,3725],{"className":3718},[635,778],[576,3720,1683],{"className":3721},[778],[576,3723,1687],{"className":3724},[778],[576,3726,1101],{"className":3727},[778],[576,3729],{"className":3730,"style":1105},[639,778],[576,3732,2182],{"className":3733},[644,778],[576,3735,3737,3740],{"className":3736},[644,778],[576,3738,612],{"className":3739},[644,778],[576,3741,3743],{"className":3742},[751],[576,3744,3746],{"className":3745},[755],[576,3747,3749],{"className":3748},[759],[576,3750,3753],{"className":3751,"style":3752},[763],"height:0.6035em;",[576,3754,3756,3760],{"style":3755},"top:-2.786em;margin-right:0.0714em;",[576,3757],{"className":3758,"style":3759},[770],"height:2.5em;",[576,3761,3765],{"className":3762},[775,3763,3764,778],"reset-size3","size1",[576,3766,728],{"className":3767},[782,778],[576,3769,3770,3773],{"style":1111},[576,3771],{"className":3772,"style":1080},[770],[576,3774],{"className":3775,"style":1119},[1118],[576,3777,3778,3781],{"style":1122},[576,3779],{"className":3780,"style":1080},[770],[576,3782,3784],{"className":3783},[775,776,777,778],[576,3785,3787],{"className":3786},[644,778],[576,3788,1625],{"className":3789},[644,778],[576,3791,1156],{"className":3792},[1155],[576,3794,3796],{"className":3795},[759],[576,3797,3799],{"className":3798,"style":1163},[763],[576,3800],{},[576,3802],{"className":3803},[1169,1059],[576,3805],{"className":3806,"style":649},[639],[576,3808,3618],{"className":3809},[653],[576,3811],{"className":3812,"style":649},[639],[576,3814,3816,3820,3823,3831],{"className":3815},[626],[576,3817],{"className":3818,"style":3819},[630],"height:0.8389em;vertical-align:-0.1944em;",[576,3821,2182],{"className":3822},[644],[576,3824,3826],{"className":3825},[644],[576,3827,3830],{"className":3828},[3829],"mpunct",",",[576,3832,3834],{"className":3833},[644],"747",", die Taste ",[576,3837,3839,3864],{"className":3838},[579],[576,3840,3842],{"className":3841},[583],[585,3843,3844],{"xmlns":587},[589,3845,3846,3862],{},[592,3847,3848],{},[722,3849,3850,3856],{},[592,3851,3852,3854],{},[595,3853,1387],{},[599,3855,601],{},[592,3857,3858,3860],{},[599,3859,1402],{},[610,3861,1625],{},[614,3863,3464],{"encoding":616},[576,3865,3867],{"className":3866,"ariaHidden":622},[621],[576,3868,3870,3873],{"className":3869},[626],[576,3871],{"className":3872,"style":3474},[630],[576,3874,3876,3879],{"className":3875},[635],[576,3877,1387],{"className":3878},[635],[576,3880,3882],{"className":3881},[751],[576,3883,3885],{"className":3884},[755],[576,3886,3888],{"className":3887},[759],[576,3889,3891],{"className":3890,"style":3474},[763],[576,3892,3893,3896],{"style":3495},[576,3894],{"className":3895,"style":771},[770],[576,3897,3899],{"className":3898},[775,776,777,778],[576,3900,3902,3905],{"className":3901},[644,778],[576,3903,1402],{"className":3904},[644,778],[576,3906,1625],{"className":3907},[644,778]," mit der Eingabe ",[576,3910,3912,3925],{"className":3911},[579],[576,3913,3915],{"className":3914},[583],[585,3916,3917],{"xmlns":587},[589,3918,3919,3923],{},[592,3920,3921],{},[610,3922,3528],{},[614,3924,3528],{"encoding":616},[576,3926,3928],{"className":3927,"ariaHidden":622},[621],[576,3929,3931,3934],{"className":3930},[626],[576,3932],{"className":3933,"style":704},[630],[576,3935,3528],{"className":3936},[644]," liefert dagegen einen Winkel.",[1359,3939,3940,4012,4013,4085,4086,4225,4226,1505],{},[576,3941,3943,3965],{"className":3942},[579],[576,3944,3946],{"className":3945},[583],[585,3947,3948],{"xmlns":587},[589,3949,3950,3962],{},[592,3951,3952,3954,3956],{},[595,3953,550],{},[599,3955,601],{},[722,3957,3958,3960],{},[610,3959,929],{},[599,3961,728],{},[614,3963,3964],{"encoding":616},"\\cot 90^\\circ",[576,3966,3968],{"className":3967,"ariaHidden":622},[621],[576,3969,3971,3974,3977,3980,3983],{"className":3970},[626],[576,3972],{"className":3973,"style":741},[630],[576,3975,550],{"className":3976},[635],[576,3978],{"className":3979,"style":640},[639],[576,3981,947],{"className":3982},[644],[576,3984,3986,3989],{"className":3985},[644],[576,3987,612],{"className":3988},[644],[576,3990,3992],{"className":3991},[751],[576,3993,3995],{"className":3994},[755],[576,3996,3998],{"className":3997},[759],[576,3999,4001],{"className":4000,"style":741},[763],[576,4002,4003,4006],{"style":766},[576,4004],{"className":4005,"style":771},[770],[576,4007,4009],{"className":4008},[775,776,777,778],[576,4010,728],{"className":4011},[782,778]," für nicht definiert halten, weil ",[576,4014,4016,4038],{"className":4015},[579],[576,4017,4019],{"className":4018},[583],[585,4020,4021],{"xmlns":587},[589,4022,4023,4035],{},[592,4024,4025,4027,4029],{},[595,4026,1387],{},[599,4028,601],{},[722,4030,4031,4033],{},[610,4032,929],{},[599,4034,728],{},[614,4036,4037],{"encoding":616},"\\tan 90^\\circ",[576,4039,4041],{"className":4040,"ariaHidden":622},[621],[576,4042,4044,4047,4050,4053,4056],{"className":4043},[626],[576,4045],{"className":4046,"style":741},[630],[576,4048,1387],{"className":4049},[635],[576,4051],{"className":4052,"style":640},[639],[576,4054,947],{"className":4055},[644],[576,4057,4059,4062],{"className":4058},[644],[576,4060,612],{"className":4061},[644],[576,4063,4065],{"className":4064},[751],[576,4066,4068],{"className":4067},[755],[576,4069,4071],{"className":4070},[759],[576,4072,4074],{"className":4073,"style":741},[763],[576,4075,4076,4079],{"style":766},[576,4077],{"className":4078,"style":771},[770],[576,4080,4082],{"className":4081},[775,776,777,778],[576,4083,728],{"className":4084},[782,778]," nicht existiert. Über ",[576,4087,4089,4118],{"className":4088},[579],[576,4090,4092],{"className":4091},[583],[585,4093,4094],{"xmlns":587},[589,4095,4096,4116],{},[592,4097,4098],{},[1020,4099,4100,4108],{},[592,4101,4102,4104,4106],{},[595,4103,1026],{},[599,4105,601],{},[595,4107,604],{},[592,4109,4110,4112,4114],{},[595,4111,597],{},[599,4113,601],{},[595,4115,604],{},[614,4117,1041],{"encoding":616},[576,4119,4121],{"className":4120,"ariaHidden":622},[621],[576,4122,4124,4127],{"className":4123},[626],[576,4125],{"className":4126,"style":1051},[630],[576,4128,4130,4133,4222],{"className":4129},[644],[576,4131],{"className":4132},[1058,1059],[576,4134,4136],{"className":4135},[1020],[576,4137,4139,4214],{"className":4138},[755,1066],[576,4140,4142,4211],{"className":4141},[759],[576,4143,4145,4174,4182],{"className":4144,"style":1073},[763],[576,4146,4147,4150],{"style":1076},[576,4148],{"className":4149,"style":1080},[770],[576,4151,4153],{"className":4152},[775,776,777,778],[576,4154,4156,4168,4171],{"className":4155},[644,778],[576,4157,4159,4162,4165],{"className":4158},[635,778],[576,4160,1093],{"className":4161},[778],[576,4163,1097],{"className":4164},[778],[576,4166,1101],{"className":4167},[778],[576,4169],{"className":4170,"style":1105},[639,778],[576,4172,604],{"className":4173},[644,645,778],[576,4175,4176,4179],{"style":1111},[576,4177],{"className":4178,"style":1080},[770],[576,4180],{"className":4181,"style":1119},[1118],[576,4183,4184,4187],{"style":1122},[576,4185],{"className":4186,"style":1080},[770],[576,4188,4190],{"className":4189},[775,776,777,778],[576,4191,4193,4205,4208],{"className":4192},[644,778],[576,4194,4196,4199,4202],{"className":4195},[635,778],[576,4197,1138],{"className":4198},[778],[576,4200,1142],{"className":4201},[778],[576,4203,1093],{"className":4204},[778],[576,4206],{"className":4207,"style":1105},[639,778],[576,4209,604],{"className":4210},[644,645,778],[576,4212,1156],{"className":4213},[1155],[576,4215,4217],{"className":4216},[759],[576,4218,4220],{"className":4219,"style":1163},[763],[576,4221],{},[576,4223],{"className":4224},[1169,1059]," erhält man ",[576,4227,4229,4242],{"className":4228},[579],[576,4230,4232],{"className":4231},[583],[585,4233,4234],{"xmlns":587},[589,4235,4236,4240],{},[592,4237,4238],{},[610,4239,612],{},[614,4241,612],{"encoding":616},[576,4243,4245],{"className":4244,"ariaHidden":622},[621],[576,4246,4248,4251],{"className":4247},[626],[576,4249],{"className":4250,"style":704},[630],[576,4252,612],{"className":4253},[644],[1359,4255,4256],{},"Ankathete und Gegenkathete vertauschen und so den Tangens statt des Kotangens berechnen.",{"title":4258,"searchDepth":4259,"depth":4259,"links":4260},"",2,[4261,4262,4263],{"id":562,"depth":4259,"text":563},{"id":1875,"depth":4259,"text":1876},{"id":3429,"depth":4259,"text":3430},[4265,4268,4270,4272,4274,4276,4279,4282,4284,4287],{"lhs":4266,"rhs":4267},"cot(x)","cos(x)\u002Fsin(x)",{"lhs":4266,"rhs":4269},"1\u002Ftan(x)",{"lhs":4266,"rhs":4271},"tan(pi\u002F2 - x)",{"lhs":4273,"rhs":4266},"cot(x + pi)",{"lhs":4275,"rhs":1625},"cot(45*pi\u002F180)",{"lhs":4277,"rhs":4278},"cot(30*pi\u002F180)","sqrt(3)",{"lhs":4280,"rhs":4281},"cos(30*pi\u002F180)\u002Fsin(30*pi\u002F180)","(sqrt(3)\u002F2)\u002F(1\u002F2)",{"lhs":4283,"rhs":612},"cos(90*pi\u002F180)\u002Fsin(90*pi\u002F180)",{"lhs":4285,"rhs":4286},"8\u002F6","4\u002F3",{"lhs":4288,"rhs":4289},"round(1\u002Ftan(20*pi\u002F180), 3)","2.747","\\sin x \\neq 0,\\ \\text{d.h.}\\ x \\neq k\\pi,\\ k \\in \\mathbb{Z};\\ \\text{die Form}\\ \\tfrac{1}{\\tan x}\\ \\text{zusätzlich nur für}\\ \\cos x \\neq 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>sin\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\sin x \\neq 0,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">sin\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">d.h.\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmi>π\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x \\neq k\\pi,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">π\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">Z\u003C\u002Fmi>\u003Cmo separator=\"true\">;\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k \\in \\mathbb{Z};\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7335em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">Z\u003C\u002Fspan>\u003Cspan class=\"mpunct\">;\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">die Form\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmrow>\u003Cmi>tan\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmstyle>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\tfrac{1}{\\tan x}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.1901em;vertical-align:-0.345em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8451em;\">\u003Cspan style=\"top:-2.655em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mop mtight\">\u003Cspan class=\"mtight\">t\u003C\u002Fspan>\u003Cspan class=\"mtight\">a\u003C\u002Fspan>\u003Cspan class=\"mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace mtight\" style=\"margin-right:0.1952em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.394em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.345em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">zusätzlich nur für\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>cos\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\cos x \\neq 0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">cos\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md",{"caption":4295,"x":4296,"y":4299,"unit":4302,"axes":4303,"items":4304},"Graph von cot x mit Polstellen bei 0, π und 2π, grau der Graph von tan x",[4297,4298],-0.6,6.8,[4300,4301],-3,3,40,true,[4305,4311,4315,4319,4320,4325],{"type":4306,"from":4307,"to":4309,"style":4310},"segment",[4308,4300],3.1416,[4308,4301],"dashed",{"type":4306,"from":4312,"to":4314,"style":4310},[4313,4300],6.2832,[4313,4301],{"type":4316,"expr":4317,"style":4318},"function","tan(x)","muted",{"type":4316,"expr":4266},{"type":4321,"at":4322,"text":1526},"label",[4323,4324],2.85,2.6,{"type":4321,"at":4326,"text":4328},[4327,4324],5.9,"2π","\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" viewBox=\"0 0 296 240\" width=\"296\" height=\"240\" role=\"img\" aria-label=\"Graph von cot x mit Polstellen bei 0, π und 2π, grau der Graph von tan x\" class=\"formula-figure-svg\">\u003Cdefs>\u003Cmarker id=\"fig-cotangent-arrow\" viewBox=\"0 0 10 10\" refX=\"9\" refY=\"5\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\u003Cpath d=\"M 0 0 L 10 5 L 0 10 z\" class=\"fig-arrowhead\"\u002F>\u003C\u002Fmarker>\u003CclipPath id=\"fig-cotangent-clip\">\u003Crect x=\"0\" y=\"0\" width=\"296\" height=\"240\"\u002F>\u003C\u002FclipPath>\u003C\u002Fdefs>\u003Cline x1=\"0\" y1=\"120\" x2=\"296\" y2=\"120\" class=\"fig-axis\" marker-end=\"url(#fig-cotangent-arrow)\"\u002F>\u003Cline x1=\"24\" y1=\"240\" x2=\"24\" y2=\"0\" class=\"fig-axis\" marker-end=\"url(#fig-cotangent-arrow)\"\u002F>\u003Cline x1=\"64\" y1=\"117\" x2=\"64\" y2=\"123\" class=\"fig-axis\"\u002F>\u003Ctext x=\"67\" y=\"134\" text-anchor=\"start\" class=\"fig-tick\">1\u003C\u002Ftext>\u003Cline x1=\"104\" y1=\"117\" x2=\"104\" y2=\"123\" class=\"fig-axis\"\u002F>\u003Ctext x=\"107\" y=\"134\" text-anchor=\"start\" class=\"fig-tick\">2\u003C\u002Ftext>\u003Cline x1=\"144\" y1=\"117\" x2=\"144\" y2=\"123\" class=\"fig-axis\"\u002F>\u003Ctext x=\"147\" y=\"134\" text-anchor=\"start\" class=\"fig-tick\">3\u003C\u002Ftext>\u003Cline x1=\"184\" y1=\"117\" x2=\"184\" y2=\"123\" class=\"fig-axis\"\u002F>\u003Ctext x=\"187\" y=\"134\" text-anchor=\"start\" class=\"fig-tick\">4\u003C\u002Ftext>\u003Cline x1=\"224\" y1=\"117\" x2=\"224\" y2=\"123\" class=\"fig-axis\"\u002F>\u003Ctext x=\"227\" y=\"134\" text-anchor=\"start\" class=\"fig-tick\">5\u003C\u002Ftext>\u003Cline x1=\"264\" y1=\"117\" x2=\"264\" y2=\"123\" class=\"fig-axis\"\u002F>\u003Ctext x=\"267\" y=\"134\" text-anchor=\"start\" class=\"fig-tick\">6\u003C\u002Ftext>\u003Cline x1=\"21\" y1=\"240\" x2=\"27\" y2=\"240\" class=\"fig-axis\"\u002F>\u003Ctext x=\"18\" y=\"233\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">−3\u003C\u002Ftext>\u003Cline x1=\"21\" y1=\"200\" x2=\"27\" y2=\"200\" class=\"fig-axis\"\u002F>\u003Ctext x=\"18\" y=\"193\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">−2\u003C\u002Ftext>\u003Cline x1=\"21\" y1=\"160\" x2=\"27\" y2=\"160\" class=\"fig-axis\"\u002F>\u003Ctext x=\"18\" y=\"153\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">−1\u003C\u002Ftext>\u003Cline x1=\"21\" y1=\"80\" x2=\"27\" y2=\"80\" class=\"fig-axis\"\u002F>\u003Ctext x=\"18\" y=\"73\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">1\u003C\u002Ftext>\u003Cline x1=\"21\" y1=\"40\" x2=\"27\" y2=\"40\" class=\"fig-axis\"\u002F>\u003Ctext x=\"18\" y=\"33\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">2\u003C\u002Ftext>\u003Ctext x=\"290\" y=\"108\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">x\u003C\u002Ftext>\u003Ctext x=\"36\" y=\"8\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">y\u003C\u002Ftext>\u003Cline x1=\"149.66\" y1=\"240\" x2=\"149.66\" y2=\"0\" class=\"fig-dashed\"\u002F>\u003Cline x1=\"275.33\" y1=\"240\" x2=\"275.33\" y2=\"0\" class=\"fig-dashed\"\u002F>\u003Cpath d=\"M 0 147.37 L 1.23 145.59 L 2.47 143.89 L 3.7 142.24 L 4.93 140.66 L 6.17 139.12 L 7.4 137.62 L 8.63 136.17 L 9.87 134.75 L 11.1 133.37 L 12.33 132.01 L 13.57 130.68 L 14.8 129.37 L 16.03 128.07 L 17.27 126.8 L 18.5 125.53 L 19.73 124.28 L 20.97 123.04 L 22.2 121.8 L 23.43 120.57 L 24.67 119.33 L 25.9 118.1 L 27.13 116.86 L 28.37 115.62 L 29.6 114.36 L 30.83 113.1 L 32.07 111.82 L 33.3 110.53 L 34.53 109.22 L 35.77 107.88 L 37 106.52 L 38.23 105.13 L 39.47 103.71 L 40.7 102.26 L 41.93 100.76 L 43.17 99.22 L 44.4 97.63 L 45.63 95.98 L 46.87 94.27 L 48.1 92.49 L 49.33 90.63 L 50.57 88.69 L 51.8 86.65 L 53.03 84.5 L 54.27 82.23 L 55.5 79.83 L 56.73 77.27 L 57.97 74.54 L 59.2 71.61 L 60.43 68.46 L 61.67 65.04 L 62.9 61.32 L 64.13 57.24 L 65.37 52.76 L 66.6 47.78 L 67.83 42.21 L 69.07 35.94 L 70.3 28.79 L 71.53 20.56 L 72.77 10.97 L 74 -0.38 L 75.23 -14.06 L 76.47 -30.89 L 77.7 -52.16 L 78.93 -79.93 L 80.17 -117.83 L 81.4 -172.75 M 91.27 479.3 L 92.5 400.39 L 93.73 349.53 L 94.97 313.97 L 96.2 287.66 L 97.43 267.37 L 98.67 251.23 L 99.9 238.05 L 101.13 227.07 L 102.37 217.76 L 103.6 209.76 L 104.83 202.8 L 106.07 196.67 L 107.3 191.23 L 108.53 186.35 L 109.77 181.95 L 111 177.94 L 112.23 174.28 L 113.47 170.92 L 114.7 167.81 L 115.93 164.92 L 117.17 162.22 L 118.4 159.7 L 119.63 157.32 L 120.87 155.08 L 122.1 152.95 L 123.33 150.93 L 124.57 149.01 L 125.8 147.17 L 127.03 145.4 L 128.27 143.7 L 129.5 142.07 L 130.73 140.48 L 131.97 138.95 L 133.2 137.46 L 134.43 136.01 L 135.67 134.6 L 136.9 133.22 L 138.13 131.86 L 139.37 130.53 L 140.6 129.22 L 141.83 127.93 L 143.07 126.66 L 144.3 125.4 L 145.53 124.15 L 146.77 122.9 L 148 121.66 L 149.23 120.43 L 150.47 119.2 L 151.7 117.96 L 152.93 116.72 L 154.17 115.48 L 155.4 114.22 L 156.63 112.96 L 157.87 111.68 L 159.1 110.38 L 160.33 109.07 L 161.57 107.73 L 162.8 106.37 L 164.03 104.98 L 165.27 103.55 L 166.5 102.09 L 167.73 100.59 L 168.97 99.04 L 170.2 97.45 L 171.43 95.79 L 172.67 94.07 L 173.9 92.29 L 175.13 90.42 L 176.37 88.47 L 177.6 86.42 L 178.83 84.26 L 180.07 81.98 L 181.3 79.56 L 182.53 76.98 L 183.77 74.23 L 185 71.28 L 186.23 68.09 L 187.47 64.64 L 188.7 60.89 L 189.93 56.77 L 191.17 52.23 L 192.4 47.19 L 193.63 41.56 L 194.87 35.19 L 196.1 27.94 L 197.33 19.58 L 198.57 9.81 L 199.8 -1.77 L 201.03 -15.75 L 202.27 -33 L 203.5 -54.86 L 204.73 -83.53 L 205.97 -122.88 L 207.2 -180.37 M 217.07 468.5 L 218.3 393.71 L 219.53 344.99 L 220.77 310.68 L 222 285.16 L 223.23 265.41 L 224.47 249.64 L 225.7 236.74 L 226.93 225.97 L 228.17 216.82 L 229.4 208.95 L 230.63 202.08 L 231.87 196.04 L 233.1 190.66 L 234.33 185.84 L 235.57 181.48 L 236.8 177.52 L 238.03 173.9 L 239.27 170.56 L 240.5 167.48 L 241.73 164.61 L 242.97 161.94 L 244.2 159.43 L 245.43 157.07 L 246.67 154.84 L 247.9 152.72 L 249.13 150.72 L 250.37 148.8 L 251.6 146.97 L 252.83 145.21 L 254.07 143.52 L 255.3 141.89 L 256.53 140.31 L 257.77 138.78 L 259 137.3 L 260.23 135.85 L 261.47 134.44 L 262.7 133.06 L 263.93 131.71 L 265.17 130.39 L 266.4 129.08 L 267.63 127.79 L 268.87 126.52 L 270.1 125.26 L 271.33 124.01 L 272.57 122.77 L 273.8 121.53 L 275.03 120.29 L 276.27 119.06 L 277.5 117.83 L 278.73 116.59 L 279.97 115.34 L 281.2 114.08 L 282.43 112.82 L 283.67 111.54 L 284.9 110.24 L 286.13 108.92 L 287.37 107.58 L 288.6 106.22 L 289.83 104.82 L 291.07 103.39 L 292.3 101.93 L 293.53 100.42 L 294.77 98.87 L 296 97.27\" class=\"fig-muted fig-graph\" clip-path=\"url(#fig-cotangent-clip)\"\u002F>\u003Cpath d=\"M 0 178.47 L 1.23 182.52 L 2.47 186.98 L 3.7 191.93 L 4.93 197.46 L 6.17 203.69 L 7.4 210.79 L 8.63 218.95 L 9.87 228.46 L 11.1 239.7 L 12.33 253.23 L 13.57 269.86 L 14.8 290.84 L 16.03 318.17 L 17.27 355.38 L 18.5 409.07 M 29.6 -163.85 L 30.83 -111.86 L 32.07 -75.65 L 33.3 -48.93 L 34.53 -28.37 L 35.77 -12.03 L 37 1.29 L 38.23 12.37 L 39.47 21.76 L 40.7 29.82 L 41.93 36.84 L 43.17 43.01 L 44.4 48.49 L 45.63 53.4 L 46.87 57.82 L 48.1 61.84 L 49.33 65.52 L 50.57 68.9 L 51.8 72.03 L 53.03 74.93 L 54.27 77.63 L 55.5 80.17 L 56.73 82.55 L 57.97 84.8 L 59.2 86.93 L 60.43 88.96 L 61.67 90.89 L 62.9 92.73 L 64.13 94.5 L 65.37 96.21 L 66.6 97.85 L 67.83 99.43 L 69.07 100.97 L 70.3 102.46 L 71.53 103.91 L 72.77 105.32 L 74 106.71 L 75.23 108.07 L 76.47 109.4 L 77.7 110.71 L 78.93 112 L 80.17 113.27 L 81.4 114.53 L 82.63 115.79 L 83.87 117.03 L 85.1 118.27 L 86.33 119.5 L 87.57 120.73 L 88.8 121.97 L 90.03 123.21 L 91.27 124.45 L 92.5 125.71 L 93.73 126.97 L 94.97 128.25 L 96.2 129.54 L 97.43 130.86 L 98.67 132.19 L 99.9 133.55 L 101.13 134.94 L 102.37 136.37 L 103.6 137.82 L 104.83 139.32 L 106.07 140.87 L 107.3 142.46 L 108.53 144.12 L 109.77 145.83 L 111 147.61 L 112.23 149.47 L 113.47 151.42 L 114.7 153.47 L 115.93 155.62 L 117.17 157.89 L 118.4 160.31 L 119.63 162.87 L 120.87 165.61 L 122.1 168.55 L 123.33 171.73 L 124.57 175.16 L 125.8 178.9 L 127.03 182.99 L 128.27 187.5 L 129.5 192.51 L 130.73 198.11 L 131.97 204.43 L 133.2 211.63 L 134.43 219.93 L 135.67 229.61 L 136.9 241.07 L 138.13 254.9 L 139.37 271.94 L 140.6 293.5 L 141.83 321.72 L 143.07 360.33 L 144.3 416.51 M 154.17 -233.82 L 155.4 -157.01 L 156.63 -107.24 L 157.87 -72.31 L 159.1 -46.4 L 160.33 -26.38 L 161.57 -10.43 L 162.8 2.61 L 164.03 13.49 L 165.27 22.71 L 166.5 30.65 L 167.73 37.56 L 168.97 43.65 L 170.2 49.06 L 171.43 53.91 L 172.67 58.29 L 173.9 62.27 L 175.13 65.91 L 176.37 69.26 L 177.6 72.36 L 178.83 75.23 L 180.07 77.92 L 181.3 80.44 L 182.53 82.81 L 183.77 85.04 L 185 87.16 L 186.23 89.18 L 187.47 91.1 L 188.7 92.93 L 189.93 94.7 L 191.17 96.39 L 192.4 98.02 L 193.63 99.6 L 194.87 101.13 L 196.1 102.62 L 197.33 104.07 L 198.57 105.48 L 199.8 106.86 L 201.03 108.21 L 202.27 109.54 L 203.5 110.85 L 204.73 112.14 L 205.97 113.41 L 207.2 114.67 L 208.43 115.92 L 209.67 117.17 L 210.9 118.4 L 212.13 119.64 L 213.37 120.87 L 214.6 122.11 L 215.83 123.35 L 217.07 124.59 L 218.3 125.85 L 219.53 127.11 L 220.77 128.39 L 222 129.69 L 223.23 131 L 224.47 132.34 L 225.7 133.71 L 226.93 135.1 L 228.17 136.53 L 229.4 137.99 L 230.63 139.49 L 231.87 141.04 L 233.1 142.64 L 234.33 144.3 L 235.57 146.02 L 236.8 147.81 L 238.03 149.69 L 239.27 151.64 L 240.5 153.7 L 241.73 155.86 L 242.97 158.15 L 244.2 160.58 L 245.43 163.17 L 246.67 165.93 L 247.9 168.89 L 249.13 172.09 L 250.37 175.56 L 251.6 179.33 L 252.83 183.47 L 254.07 188.03 L 255.3 193.1 L 256.53 198.77 L 257.77 205.18 L 259 212.49 L 260.23 220.92 L 261.47 230.78 L 262.7 242.47 L 263.93 256.61 L 265.17 274.07 L 266.4 296.24 L 267.63 325.38 L 268.87 365.49 L 270.1 424.33 M 279.97 -223.34 L 281.2 -150.49 L 282.43 -102.79 L 283.67 -69.08 L 284.9 -43.94 L 286.13 -24.45 L 287.37 -8.86 L 288.6 3.91 L 289.83 14.58 L 291.07 23.64 L 292.3 31.46 L 293.53 38.27 L 294.77 44.28 L 296 49.62\" class=\"fig-main fig-graph\" clip-path=\"url(#fig-cotangent-clip)\"\u002F>\u003Ctext x=\"138\" y=\"16\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">π\u003C\u002Ftext>\u003Ctext x=\"260\" y=\"16\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">2π\u003C\u002Ftext>\u003C\u002Fsvg>","cotangent","\\cot x = \\frac{\\cos x}{\\sin x} = \\frac{1}{\\tan x}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>cot\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmi>cos\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi>sin\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmrow>\u003Cmi>tan\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\cot x = \\frac{\\cos x}{\\sin x} = \\frac{1}{\\tan x}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6151em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">cot\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.7936em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.1076em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mop\">sin\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mop\">cos\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.0074em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.3214em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mop\">tan\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","upper",{},"\u002Fde\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fkotangens",[],[4338,4339,4340,4341],"tangent-quotient","tangent-right-triangle","complementary-angles","trig-periodicity",{"title":548,"description":4258},"de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fkotangens","Der Kotangens ist Kosinus durch Sinus und damit der Kehrwert des Tangens.",[4346,4347,4348,4349,4350],"kotangens","tangens","sinus","kosinus","kehrwert",[4352,4355],{"symbol":604,"meaning":4353,"symbolHtml":4354},"Winkel, für den der Sinus nicht 0 ist","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":4356,"meaning":4357,"symbolHtml":4358},"k","beliebige ganze Zahl","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","9p03lVdPEmeQRu_wgDsax_FaWEftjA5q-2aBFLj_Qkk",[4361,4364,4367,4370],{"stem":4362,"title":4363,"category":518},"de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fperiodizitaet-trigonometrische-funktionen","Periodizität von Sinus, Kosinus und Tangens",{"stem":4365,"title":4366,"category":518},"de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fsinus-und-kosinus-komplementwinkel","Sinus und Kosinus am Komplementwinkel",{"stem":4368,"title":4369,"category":518},"de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Ftangens-als-quotient","Tangens als Quotient von Sinus und Kosinus",{"stem":4371,"title":4372,"category":518},"de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Ftangens-im-rechtwinkligen-dreieck","Tangens im rechtwinkligen Dreieck",1793824262737]