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Das ",[568,1161,1162],{},"Vorzeichen"," richtet sich danach, in welchem Quadranten der halbe Winkel ",[572,1165,1167,1185],{"className":1166},[575],[572,1168,1170],{"className":1169},[579],[581,1171,1172],{"xmlns":583},[585,1173,1174,1182],{},[588,1175,1176],{},[599,1177,1178,1180],{},[591,1179,603],{},[605,1181,607],{},[609,1183,1184],{"encoding":611},"\\frac{x}{2}",[572,1186,1188],{"className":1187,"ariaHidden":617},[616],[572,1189,1191,1194],{"className":1190},[621],[572,1192],{"className":1193,"style":626},[625],[572,1195,1197,1200,1259],{"className":1196},[639],[572,1198],{"className":1199},[643,644],[572,1201,1203],{"className":1202},[599],[572,1204,1206,1251],{"className":1205},[651,652],[572,1207,1209,1248],{"className":1208},[656],[572,1210,1212,1226,1234],{"className":1211,"style":661},[660],[572,1213,1214,1217],{"style":664},[572,1215],{"className":1216,"style":669},[668],[572,1218,1220],{"className":1219},[673,674,675,676],[572,1221,1223],{"className":1222},[639,676],[572,1224,607],{"className":1225},[639,676],[572,1227,1228,1231],{"style":685},[572,1229],{"className":1230,"style":669},[668],[572,1232],{"className":1233,"style":693},[692],[572,1235,1236,1239],{"style":696},[572,1237],{"className":1238,"style":669},[668],[572,1240,1242],{"className":1241},[673,674,675,676],[572,1243,1245],{"className":1244},[639,676],[572,1246,603],{"className":1247},[639,709,676],[572,1249,714],{"className":1250},[713],[572,1252,1254],{"className":1253},[656],[572,1255,1257],{"className":1256,"style":721},[660],[572,1258],{},[572,1260],{"className":1261},[727,644]," liegt: Der Sinus ist im 1. und 2. Quadranten positiv, der Kosinus im 1. und 4.",[564,1264,1265],{},"Für den Tangens gibt es Formen ohne Vorzeichenfrage:",[572,1267,1270],{"className":1268},[1269],"katex-display",[572,1271,1273,1348],{"className":1272},[575],[572,1274,1276],{"className":1275},[579],[581,1277,1279],{"xmlns":583,"display":1278},"block",[585,1280,1281,1345],{},[588,1282,1283,1286,1288,1294,1297,1320,1322],{},[591,1284,1285],{},"tan",[595,1287,597],{},[599,1289,1290,1292],{},[591,1291,603],{},[605,1293,607],{},[595,1295,1296],{},"=",[599,1298,1299,1307],{},[588,1300,1301,1303,1305],{},[591,1302,593],{},[595,1304,597],{},[591,1306,603],{},[588,1308,1309,1311,1314,1316,1318],{},[605,1310,917],{},[595,1312,1313],{},"+",[591,1315,743],{},[595,1317,597],{},[591,1319,603],{},[595,1321,1296],{},[599,1323,1324,1337],{},[588,1325,1326,1328,1331,1333,1335],{},[605,1327,917],{},[595,1329,1330],{},"−",[591,1332,743],{},[595,1334,597],{},[591,1336,603],{},[588,1338,1339,1341,1343],{},[591,1340,593],{},[595,1342,597],{},[591,1344,603],{},[609,1346,1347],{"encoding":611},"\\tan\\frac{x}{2} = \\frac{\\sin x}{1 + \\cos x} = \\frac{1 - \\cos x}{\\sin x}",[572,1349,1351,1441,1546],{"className":1350,"ariaHidden":617},[616],[572,1352,1354,1358,1361,1364,1430,1434,1438],{"className":1353},[621],[572,1355],{"className":1356,"style":1357},[625],"height:1.7936em;vertical-align:-0.686em;",[572,1359,1285],{"className":1360},[630],[572,1362],{"className":1363,"style":635},[634],[572,1365,1367,1370,1427],{"className":1366},[639],[572,1368],{"className":1369},[643,644],[572,1371,1373],{"className":1372},[599],[572,1374,1376,1418],{"className":1375},[651,652],[572,1377,1379,1415],{"className":1378},[656],[572,1380,1383,1395,1403],{"className":1381,"style":1382},[660],"height:1.1076em;",[572,1384,1386,1389],{"style":1385},"top:-2.314em;",[572,1387],{"className":1388,"style":669},[668],[572,1390,1392],{"className":1391},[639],[572,1393,607],{"className":1394},[639],[572,1396,1397,1400],{"style":685},[572,1398],{"className":1399,"style":669},[668],[572,1401],{"className":1402,"style":693},[692],[572,1404,1406,1409],{"style":1405},"top:-3.677em;",[572,1407],{"className":1408,"style":669},[668],[572,1410,1412],{"className":1411},[639],[572,1413,603],{"className":1414},[639,709],[572,1416,714],{"className":1417},[713],[572,1419,1421],{"className":1420},[656],[572,1422,1425],{"className":1423,"style":1424},[660],"height:0.686em;",[572,1426],{},[572,1428],{"className":1429},[727,644],[572,1431],{"className":1432,"style":1433},[634],"margin-right:0.2778em;",[572,1435,1296],{"className":1436},[1437],"mrel",[572,1439],{"className":1440,"style":1433},[634],[572,1442,1444,1448,1537,1540,1543],{"className":1443},[621],[572,1445],{"className":1446,"style":1447},[625],"height:2.1142em;vertical-align:-0.7693em;",[572,1449,1451,1454,1534],{"className":1450},[639],[572,1452],{"className":1453},[643,644],[572,1455,1457],{"className":1456},[599],[572,1458,1460,1525],{"className":1459},[651,652],[572,1461,1463,1522],{"className":1462},[656],[572,1464,1467,1497,1505],{"className":1465,"style":1466},[660],"height:1.3449em;",[572,1468,1469,1472],{"style":1385},[572,1470],{"className":1471,"style":669},[668],[572,1473,1475,1478,1482,1485,1488,1491,1494],{"className":1474},[639],[572,1476,917],{"className":1477},[639],[572,1479],{"className":1480,"style":1481},[634],"margin-right:0.2222em;",[572,1483,1313],{"className":1484},[951],[572,1486],{"className":1487,"style":1481},[634],[572,1489,743],{"className":1490},[630],[572,1492],{"className":1493,"style":635},[634],[572,1495,603],{"className":1496},[639,709],[572,1498,1499,1502],{"style":685},[572,1500],{"className":1501,"style":669},[668],[572,1503],{"className":1504,"style":693},[692],[572,1506,1507,1510],{"style":1405},[572,1508],{"className":1509,"style":669},[668],[572,1511,1513,1516,1519],{"className":1512},[639],[572,1514,593],{"className":1515},[630],[572,1517],{"className":1518,"style":635},[634],[572,1520,603],{"className":1521},[639,709],[572,1523,714],{"className":1524},[713],[572,1526,1528],{"className":1527},[656],[572,1529,1532],{"className":1530,"style":1531},[660],"height:0.7693em;",[572,1533],{},[572,1535],{"className":1536},[727,644],[572,1538],{"className":1539,"style":1433},[634],[572,1541,1296],{"className":1542},[1437],[572,1544],{"className":1545,"style":1433},[634],[572,1547,1549,1553],{"className":1548},[621],[572,1550],{"className":1551,"style":1552},[625],"height:2.0074em;vertical-align:-0.686em;",[572,1554,1556,1559,1637],{"className":1555},[639],[572,1557],{"className":1558},[643,644],[572,1560,1562],{"className":1561},[599],[572,1563,1565,1629],{"className":1564},[651,652],[572,1566,1568,1626],{"className":1567},[656],[572,1569,1572,1589,1597],{"className":1570,"style":1571},[660],"height:1.3214em;",[572,1573,1574,1577],{"style":1385},[572,1575],{"className":1576,"style":669},[668],[572,1578,1580,1583,1586],{"className":1579},[639],[572,1581,593],{"className":1582},[630],[572,1584],{"className":1585,"style":635},[634],[572,1587,603],{"className":1588},[639,709],[572,1590,1591,1594],{"style":685},[572,1592],{"className":1593,"style":669},[668],[572,1595],{"className":1596,"style":693},[692],[572,1598,1599,1602],{"style":1405},[572,1600],{"className":1601,"style":669},[668],[572,1603,1605,1608,1611,1614,1617,1620,1623],{"className":1604},[639],[572,1606,917],{"className":1607},[639],[572,1609],{"className":1610,"style":1481},[634],[572,1612,1330],{"className":1613},[951],[572,1615],{"className":1616,"style":1481},[634],[572,1618,743],{"className":1619},[630],[572,1621],{"className":1622,"style":635},[634],[572,1624,603],{"className":1625},[639,709],[572,1627,714],{"className":1628},[713],[572,1630,1632],{"className":1631},[656],[572,1633,1635],{"className":1634,"style":1424},[660],[572,1636],{},[572,1638],{"className":1639},[727,644],[564,1641,1642,1643,1753,1754,1156],{},"Die erste gilt für ",[572,1644,1646,1672],{"className":1645},[575],[572,1647,1649],{"className":1648},[579],[581,1650,1651],{"xmlns":583},[585,1652,1653,1669],{},[588,1654,1655,1657,1659,1661,1665,1667],{},[591,1656,743],{},[595,1658,597],{},[591,1660,603],{},[595,1662,1664],{"mathvariant":1663},"normal","≠",[595,1666,1330],{},[605,1668,917],{},[609,1670,1671],{"encoding":611},"\\cos x \\neq -1",[572,1673,1675,1740],{"className":1674,"ariaHidden":617},[616],[572,1676,1678,1682,1685,1688,1691,1694,1737],{"className":1677},[621],[572,1679],{"className":1680,"style":1681},[625],"height:0.8889em;vertical-align:-0.1944em;",[572,1683,743],{"className":1684},[630],[572,1686],{"className":1687,"style":635},[634],[572,1689,603],{"className":1690},[639,709],[572,1692],{"className":1693,"style":1433},[634],[572,1695,1697,1730,1734],{"className":1696},[1437],[572,1698,1700],{"className":1699},[1437],[572,1701,1704],{"className":1702},[639,1703],"vbox",[572,1705,1708],{"className":1706},[1707],"thinbox",[572,1709,1712,1715,1726],{"className":1710},[1711],"rlap",[572,1713],{"className":1714,"style":1681},[625],[572,1716,1719],{"className":1717},[1718],"inner",[572,1720,1722],{"className":1721},[639],[572,1723,1725],{"className":1724},[1437],"",[572,1727],{"className":1728},[1729],"fix",[572,1731],{"className":1732},[634,1733],"nobreak",[572,1735,1296],{"className":1736},[1437],[572,1738],{"className":1739,"style":1433},[634],[572,1741,1743,1747,1750],{"className":1742},[621],[572,1744],{"className":1745,"style":1746},[625],"height:0.7278em;vertical-align:-0.0833em;",[572,1748,1330],{"className":1749},[639],[572,1751,917],{"className":1752},[639],", die zweite für ",[572,1755,1757,1779],{"className":1756},[575],[572,1758,1760],{"className":1759},[579],[581,1761,1762],{"xmlns":583},[585,1763,1764,1776],{},[588,1765,1766,1768,1770,1772,1774],{},[591,1767,593],{},[595,1769,597],{},[591,1771,603],{},[595,1773,1664],{"mathvariant":1663},[605,1775,1068],{},[609,1777,1778],{"encoding":611},"\\sin x \\neq 0",[572,1780,1782,1839],{"className":1781,"ariaHidden":617},[616],[572,1783,1785,1788,1791,1794,1797,1800,1836],{"className":1784},[621],[572,1786],{"className":1787,"style":1681},[625],[572,1789,593],{"className":1790},[630],[572,1792],{"className":1793,"style":635},[634],[572,1795,603],{"className":1796},[639,709],[572,1798],{"className":1799,"style":1433},[634],[572,1801,1803,1830,1833],{"className":1802},[1437],[572,1804,1806],{"className":1805},[1437],[572,1807,1809],{"className":1808},[639,1703],[572,1810,1812],{"className":1811},[1707],[572,1813,1815,1818,1827],{"className":1814},[1711],[572,1816],{"className":1817,"style":1681},[625],[572,1819,1821],{"className":1820},[1718],[572,1822,1824],{"className":1823},[639],[572,1825,1725],{"className":1826},[1437],[572,1828],{"className":1829},[1729],[572,1831],{"className":1832},[634,1733],[572,1834,1296],{"className":1835},[1437],[572,1837],{"className":1838,"style":1433},[634],[572,1840,1842,1846],{"className":1841},[621],[572,1843],{"className":1844,"style":1845},[625],"height:0.6444em;",[572,1847,1068],{"className":1848},[639],[559,1850,1852],{"id":1851},"herleitung","Herleitung",[564,1854,1855,1856,2106,2107,2228],{},"Aus der Doppelwinkelformel ",[572,1857,1859,1927],{"className":1858},[575],[572,1860,1862],{"className":1861},[579],[581,1863,1864],{"xmlns":583},[585,1865,1866,1924],{},[588,1867,1868,1870,1872,1876,1878,1881,1884,1886,1888,1890,1892,1902,1904,1906,1908,1918,1920,1922],{},[591,1869,743],{},[595,1871,597],{},[595,1873,1875],{"stretchy":1874},"false","(",[605,1877,607],{},[591,1879,1880],{},"y",[595,1882,1883],{"stretchy":1874},")",[595,1885,1296],{},[605,1887,917],{},[595,1889,1330],{},[605,1891,607],{},[893,1893,1894,1900],{},[588,1895,1896,1898],{},[591,1897,593],{},[595,1899,597],{},[605,1901,607],{},[591,1903,1880],{},[595,1905,1296],{},[605,1907,607],{},[893,1909,1910,1916],{},[588,1911,1912,1914],{},[591,1913,743],{},[595,1915,597],{},[605,1917,607],{},[591,1919,1880],{},[595,1921,1330],{},[605,1923,917],{},[609,1925,1926],{"encoding":611},"\\cos(2y) = 1 - 2\\sin^2 y = 2\\cos^2 y - 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liegt im 2. Quadranten, der Kosinus ist dort negativ:",[572,4633,4635],{"className":4634},[1269],[572,4636,4638,4694],{"className":4637},[575],[572,4639,4641],{"className":4640},[579],[581,4642,4643],{"xmlns":583,"display":1278},[585,4644,4645,4691],{},[588,4646,4647,4649,4651,4657,4659,4661,4679,4681,4683],{},[591,4648,743],{},[595,4650,597],{},[893,4652,4653,4655],{},[605,4654,4350],{},[595,4656,900],{},[595,4658,1296],{},[595,4660,1330],{},[2859,4662,4663],{},[599,4664,4665,4677],{},[588,4666,4667,4669,4671],{},[605,4668,917],{},[595,4670,1313],{},[599,4672,4673,4675],{},[605,4674,917],{},[605,4676,607],{},[605,4678,607],{},[595,4680,1296],{},[595,4682,1330],{},[599,4684,4685,4689],{},[2859,4686,4687],{},[605,4688,1061],{},[605,4690,607],{},[609,4692,4693],{"encoding":611},"\\cos 150^\\circ = -\\sqrt{\\frac{1 + \\frac{1}{2}}{2}} = -\\frac{\\sqrt{3}}{2}",[572,4695,4697,4750,4957],{"className":4696,"ariaHidden":617},[616],[572,4698,4700,4703,4706,4709,4712,4741,4744,4747],{"className":4699},[621],[572,4701],{"className":4702,"style":3208},[625],[572,4704,743],{"className":4705},[630],[572,4707],{"className":4708,"style":635},[634],[572,4710,897],{"className":4711},[639],[572,4713,4715,4718],{"className":4714},[639],[572,4716,1068],{"className":4717},[639],[572,4719,4721],{"className":4720},[928],[572,4722,4724],{"className":4723},[651],[572,4725,4727],{"className":4726},[656],[572,4728,4730],{"className":4729,"style":3208},[660],[572,4731,4732,4735],{"style":2549},[572,4733],{"className":4734,"style":944},[668],[572,4736,4738],{"className":4737},[673,674,675,676],[572,4739,900],{"className":4740},[951,676],[572,4742],{"className":4743,"style":1433},[634],[572,4745,1296],{"className":4746},[1437],[572,4748],{"className":4749,"style":1433},[634],[572,4751,4753,4757,4760,4948,4951,4954],{"className":4752},[621],[572,4754],{"className":4755,"style":4756},[625],"height:3.04em;vertical-align:-0.9591em;",[572,4758,1330],{"className":4759},[639],[572,4761,4763],{"className":4762},[639,2987],[572,4764,4766,4939],{"className":4765},[651,652],[572,4767,4769,4936],{"className":4768},[656],[572,4770,4773,4923],{"className":4771,"style":4772},[660],"height:2.0809em;",[572,4774,4776,4779],{"className":4775,"style":3279},[3001],[572,4777],{"className":4778,"style":3283},[668],[572,4780,4782],{"className":4781,"style":3287},[639],[572,4783,4785,4788,4920],{"className":4784},[639],[572,4786],{"className":4787},[643,644],[572,4789,4791],{"className":4790},[599],[572,4792,4794,4912],{"className":4793},[651,652],[572,4795,4797,4909],{"className":4796},[656],[572,4798,4801,4812,4820],{"className":4799,"style":4800},[660],"height:1.5801em;",[572,4802,4803,4806],{"style":1385},[572,4804],{"className":4805,"style":669},[668],[572,4807,4809],{"className":4808},[639],[572,4810,607],{"className":4811},[639],[572,4813,4814,4817],{"style":685},[572,4815],{"className":4816,"style":669},[668],[572,4818],{"className":4819,"style":693},[692],[572,4821,4823,4826],{"style":4822},"top:-3.735em;",[572,4824],{"className":4825,"style":669},[668],[572,4827,4829,4832,4835,4838,4841],{"className":4828},[639],[572,4830,917],{"className":4831},[639],[572,4833],{"className":4834,"style":1481},[634],[572,4836,1313],{"className":4837},[951],[572,4839],{"className":4840,"style":1481},[634],[572,4842,4844,4847,4906],{"className":4843},[639],[572,4845],{"className":4846},[643,644],[572,4848,4850],{"className":4849},[599],[572,4851,4853,4898],{"className":4852},[651,652],[572,4854,4856,4895],{"className":4855},[656],[572,4857,4859,4873,4881],{"className":4858,"style":4518},[660],[572,4860,4861,4864],{"style":664},[572,4862],{"className":4863,"style":669},[668],[572,4865,4867],{"className":4866},[673,674,675,676],[572,4868,4870],{"className":4869},[639,676],[572,4871,607],{"className":4872},[639,676],[572,4874,4875,4878],{"style":685},[572,4876],{"className":4877,"style":669},[668],[572,4879],{"className":4880,"style":693},[692],[572,4882,4883,4886],{"style":696},[572,4884],{"className":4885,"style":669},[668],[572,4887,4889],{"className":4888},[673,674,675,676],[572,4890,4892],{"className":4891},[639,676],[572,4893,917],{"className":4894},[639,676],[572,4896,714],{"className":4897},[713],[572,4899,4901],{"className":4900},[656],[572,4902,4904],{"className":4903,"style":721},[660],[572,4905],{},[572,4907],{"className":4908},[727,644],[572,4910,714],{"className":4911},[713],[572,4913,4915],{"className":4914},[656],[572,4916,4918],{"className":4917,"style":1424},[660],[572,4919],{},[572,4921],{"className":4922},[727,644],[572,4924,4926,4929],{"style":4925},"top:-4.0409em;",[572,4927],{"className":4928,"style":3283},[668],[572,4930,4932],{"className":4931,"style":3485},[3022],[3025,4933,4934],{"xmlns":3027,"width":3028,"height":3488,"viewBox":3489,"preserveAspectRatio":3031},[3033,4935],{"d":3492},[572,4937,714],{"className":4938},[713],[572,4940,4942],{"className":4941},[656],[572,4943,4946],{"className":4944,"style":4945},[660],"height:0.9591em;",[572,4947],{},[572,4949],{"className":4950,"style":1433},[634],[572,4952,1296],{"className":4953},[1437],[572,4955],{"className":4956,"style":1433},[634],[572,4958,4960,4964,4967],{"className":4959},[621],[572,4961],{"className":4962,"style":4963},[625],"height:2.2702em;vertical-align:-0.686em;",[572,4965,1330],{"className":4966},[639],[572,4968,4970,4973,5071],{"className":4969},[639],[572,4971],{"className":4972},[643,644],[572,4974,4976],{"className":4975},[599],[572,4977,4979,5063],{"className":4978},[651,652],[572,4980,4982,5060],{"className":4981},[656],[572,4983,4986,4997,5005],{"className":4984,"style":4985},[660],"height:1.5842em;",[572,4987,4988,4991],{"style":1385},[572,4989],{"className":4990,"style":669},[668],[572,4992,4994],{"className":4993},[639],[572,4995,607],{"className":4996},[639],[572,4998,4999,5002],{"style":685},[572,5000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Fehler",[5079,5080,5081,5212,5432],"ul",{},[5082,5083,5084,5085,5113,5114,5211],"li",{},"Das Vorzeichen nach dem Quadranten von ",[572,5086,5088,5101],{"className":5087},[575],[572,5089,5091],{"className":5090},[579],[581,5092,5093],{"xmlns":583},[585,5094,5095,5099],{},[588,5096,5097],{},[591,5098,603],{},[609,5100,603],{"encoding":611},[572,5102,5104],{"className":5103,"ariaHidden":617},[616],[572,5105,5107,5110],{"className":5106},[621],[572,5108],{"className":5109,"style":869},[625],[572,5111,603],{"className":5112},[639,709]," statt von ",[572,5115,5117,5134],{"className":5116},[575],[572,5118,5120],{"className":5119},[579],[581,5121,5122],{"xmlns":583},[585,5123,5124,5132],{},[588,5125,5126],{},[599,5127,5128,5130],{},[591,5129,603],{},[605,5131,607],{},[609,5133,1184],{"encoding":611},[572,5135,5137],{"className":5136,"ariaHidden":617},[616],[572,5138,5140,5143],{"className":5139},[621],[572,5141],{"className":5142,"style":626},[625],[572,5144,5146,5149,5208],{"className":5145},[639],[572,5147],{"className":5148},[643,644],[572,5150,5152],{"className":5151},[599],[572,5153,5155,5200],{"className":5154},[651,652],[572,5156,5158,5197],{"className":5157},[656],[572,5159,5161,5175,5183],{"className":5160,"style":661},[660],[572,5162,5163,5166],{"style":664},[572,5164],{"className":5165,"style":669},[668],[572,5167,5169],{"className":5168},[673,674,675,676],[572,5170,5172],{"className":5171},[639,676],[572,5173,607],{"className":5174},[639,676],[572,5176,5177,5180],{"style":685},[572,5178],{"className":5179,"style":669},[668],[572,5181],{"className":5182,"style":693},[692],[572,5184,5185,5188],{"style":696},[572,5186],{"className":5187,"style":669},[668],[572,5189,5191],{"className":5190},[673,674,675,676],[572,5192,5194],{"className":5193},[639,676],[572,5195,603],{"className":5196},[639,709,676],[572,5198,714],{"className":5199},[713],[572,5201,5203],{"className":5202},[656],[572,5204,5206],{"className":5205,"style":721},[660],[572,5207],{},[572,5209],{"className":5210},[727,644]," bestimmen.",[5082,5213,5214,5431],{},[572,5215,5217,5253],{"className":5216},[575],[572,5218,5220],{"className":5219},[579],[581,5221,5222],{"xmlns":583},[585,5223,5224,5250],{},[588,5225,5226,5228,5230,5236,5238,5244,5246,5248],{},[591,5227,593],{},[595,5229,597],{},[599,5231,5232,5234],{},[591,5233,603],{},[605,5235,607],{},[595,5237,1296],{},[599,5239,5240,5242],{},[605,5241,917],{},[605,5243,607],{},[591,5245,593],{},[595,5247,597],{},[591,5249,603],{},[609,5251,5252],{"encoding":611},"\\sin\\frac{x}{2} = \\frac{1}{2}\\sin x",[572,5254,5256,5345],{"className":5255,"ariaHidden":617},[616],[572,5257,5259,5262,5265,5268,5336,5339,5342],{"className":5258},[621],[572,5260],{"className":5261,"style":626},[625],[572,5263,593],{"className":5264},[630],[572,5266],{"className":5267,"style":635},[634],[572,5269,5271,5274,5333],{"className":5270},[639],[572,5272],{"className":5273},[643,644],[572,5275,5277],{"className":5276},[599],[572,5278,5280,5325],{"className":5279},[651,652],[572,5281,5283,5322],{"className":5282},[656],[572,5284,5286,5300,5308],{"className":5285,"style":661},[660],[572,5287,5288,5291],{"style":664},[572,5289],{"className":5290,"style":669},[668],[572,5292,5294],{"className":5293},[673,674,675,676],[572,5295,5297],{"className":5296},[639,676],[572,5298,607],{"className":5299},[639,676],[572,5301,5302,5305],{"style":685},[572,5303],{"className":5304,"style":669},[668],[572,5306],{"className":5307,"style":693},[692],[572,5309,5310,5313],{"style":696},[572,5311],{"className":5312,"style":669},[668],[572,5314,5316],{"className":5315},[673,674,675,676],[572,5317,5319],{"className":5318},[639,676],[572,5320,603],{"className":5321},[639,709,676],[572,5323,714],{"className":5324},[713],[572,5326,5328],{"className":5327},[656],[572,5329,5331],{"className":5330,"style":721},[660],[572,5332],{},[572,5334],{"className":5335},[727,644],[572,5337],{"className":5338,"style":1433},[634],[572,5340,1296],{"className":5341},[1437],[572,5343],{"className":5344,"style":1433},[634],[572,5346,5348,5351,5419,5422,5425,5428],{"className":5347},[621],[572,5349],{"className":5350,"style":4499},[625],[572,5352,5354,5357,5416],{"className":5353},[639],[572,5355],{"className":5356},[643,644],[572,5358,5360],{"className":5359},[599],[572,5361,5363,5408],{"className":5362},[651,652],[572,5364,5366,5405],{"className":5365},[656],[572,5367,5369,5383,5391],{"className":5368,"style":4518},[660],[572,5370,5371,5374],{"style":664},[572,5372],{"className":5373,"style":669},[668],[572,5375,5377],{"className":5376},[673,674,675,676],[572,5378,5380],{"className":5379},[639,676],[572,5381,607],{"className":5382},[639,676],[572,5384,5385,5388],{"style":685},[572,5386],{"className":5387,"style":669},[668],[572,5389],{"className":5390,"style":693},[692],[572,5392,5393,5396],{"style":696},[572,5394],{"className":5395,"style":669},[668],[572,5397,5399],{"className":5398},[673,674,675,676],[572,5400,5402],{"className":5401},[639,676],[572,5403,917],{"className":5404},[639,676],[572,5406,714],{"className":5407},[713],[572,5409,5411],{"className":5410},[656],[572,5412,5414],{"className":5413,"style":721},[660],[572,5415],{},[572,5417],{"className":5418},[727,644],[572,5420],{"className":5421,"style":635},[634],[572,5423,593],{"className":5424},[630],[572,5426],{"className":5427,"style":635},[634],[572,5429,603],{"className":5430},[639,709]," annehmen. Der Sinus ist nicht linear.",[5082,5433,5434,5435,5496,5497,1156],{},"Die Formeln für Sinus und Kosinus vertauschen: Beim Sinus steht ",[572,5436,5438,5460],{"className":5437},[575],[572,5439,5441],{"className":5440},[579],[581,5442,5443],{"xmlns":583},[585,5444,5445,5457],{},[588,5446,5447,5449,5451,5453,5455],{},[605,5448,917],{},[595,5450,1330],{},[591,5452,743],{},[595,5454,597],{},[591,5456,603],{},[609,5458,5459],{"encoding":611},"1 - \\cos x",[572,5461,5463,5481],{"className":5462,"ariaHidden":617},[616],[572,5464,5466,5469,5472,5475,5478],{"className":5465},[621],[572,5467],{"className":5468,"style":1746},[625],[572,5470,917],{"className":5471},[639],[572,5473],{"className":5474,"style":1481},[634],[572,5476,1330],{"className":5477},[951],[572,5479],{"className":5480,"style":1481},[634],[572,5482,5484,5487,5490,5493],{"className":5483},[621],[572,5485],{"className":5486,"style":869},[625],[572,5488,743],{"className":5489},[630],[572,5491],{"className":5492,"style":635},[634],[572,5494,603],{"className":5495},[639,709],", beim Kosinus ",[572,5498,5500,5522],{"className":5499},[575],[572,5501,5503],{"className":5502},[579],[581,5504,5505],{"xmlns":583},[585,5506,5507,5519],{},[588,5508,5509,5511,5513,5515,5517],{},[605,5510,917],{},[595,5512,1313],{},[591,5514,743],{},[595,5516,597],{},[591,5518,603],{},[609,5520,5521],{"encoding":611},"1 + \\cos x",[572,5523,5525,5543],{"className":5524,"ariaHidden":617},[616],[572,5526,5528,5531,5534,5537,5540],{"className":5527},[621],[572,5529],{"className":5530,"style":1746},[625],[572,5532,917],{"className":5533},[639],[572,5535],{"className":5536,"style":1481},[634],[572,5538,1313],{"className":5539},[951],[572,5541],{"className":5542,"style":1481},[634],[572,5544,5546,5549,5552,5555],{"className":5545},[621],[572,5547],{"className":5548,"style":869},[625],[572,5550,743],{"className":5551},[630],[572,5553],{"className":5554,"style":635},[634],[572,5556,603],{"className":5557},[639,709],{"title":5559,"searchDepth":5560,"depth":5560,"links":5561},"",2,[5562,5563,5564,5565],{"id":561,"depth":5560,"text":562},{"id":1851,"depth":5560,"text":1852},{"id":2755,"depth":5560,"text":2756},{"id":5076,"depth":5560,"text":5077},[5567,5569,5571,5573,5575,5578,5580,5583,5586,5589,5592],{"lhs":550,"rhs":5568},"sqrt((1 - cos(x))\u002F2)",{"lhs":551,"rhs":5570},"sqrt((1 + cos(x))\u002F2)",{"lhs":552,"rhs":5572},"sin(x)\u002F(1 + cos(x))",{"lhs":552,"rhs":5574},"(1 - cos(x))\u002Fsin(x)",{"lhs":5576,"rhs":5577},"sqrt((1 - sqrt(3)\u002F2)\u002F2)","sqrt(2 - sqrt(3))\u002F2",{"lhs":5579,"rhs":5577},"sin(15*pi\u002F180)",{"lhs":5581,"rhs":5582},"round(sin(15*pi\u002F180), 4)","0.2588",{"lhs":5584,"rhs":5585},"cos(22.5*pi\u002F180)","sqrt(2 + sqrt(2))\u002F2",{"lhs":5587,"rhs":5588},"round(cos(22.5*pi\u002F180), 4)","0.9239",{"lhs":5590,"rhs":5591},"cos(150*pi\u002F180)","-sqrt((1 + 1\u002F2)\u002F2)",{"lhs":5591,"rhs":5593},"-sqrt(3)\u002F2","\\text{Vorzeichen nach dem Quadranten von } \\tfrac{x}{2}","\u003Cspan class=\"katex\">Vorzeichen nach dem Quadranten von\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmstyle scriptlevel=\"0\" 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