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x",[569,974,976,1006,1152],{"className":975,"ariaHidden":599},[598],[569,977,979,982,985,988,991,994,997,1000,1003],{"className":978},[603],[569,980],{"className":981,"style":720},[607],[569,983,926],{"className":984},[724],[569,986,689],{"className":987},[728],[569,989,630],{"className":990},[612],[569,992,590],{"className":993},[612,613],[569,995,696],{"className":996},[738],[569,998],{"className":999,"style":743},[742],[569,1001,699],{"className":1002},[747],[569,1004],{"className":1005,"style":743},[742],[569,1007,1009,1013,1143,1146,1149],{"className":1008},[603],[569,1010],{"className":1011,"style":1012},[607],"height:1.2065em;vertical-align:-0.345em;",[569,1014,1016,1020,1140],{"className":1015},[612],[569,1017],{"className":1018},[728,1019],"nulldelimiter",[569,1021,1023],{"className":1022},[940],[569,1024,1028,1131],{"className":1025},[1026,1027],"vlist-t","vlist-t2",[569,1029,1032,1126],{"className":1030},[1031],"vlist-r",[569,1033,1037,1077,1088],{"className":1034,"style":1036},[1035],"vlist","height:0.8615em;",[569,1038,1040,1045],{"style":1039},"top:-2.655em;",[569,1041],{"className":1042,"style":1044},[1043],"pstrut","height:3em;",[569,1046,1052],{"className":1047},[1048,1049,1050,1051],"sizing","reset-size6","size3","mtight",[569,1053,1055,1070,1074],{"className":1054},[612,1051],[569,1056,1058,1062,1066],{"className":1057},[724,1051],[569,1059,1061],{"className":1060},[1051],"c",[569,1063,1065],{"className":1064},[1051],"o",[569,1067,1069],{"className":1068},[1051],"s",[569,1071],{"className":1072,"style":1073},[742,1051],"margin-right:0.1952em;",[569,1075,590],{"className":1076},[612,613,1051],[569,1078,1080,1083],{"style":1079},"top:-3.23em;",[569,1081],{"className":1082,"style":1044},[1043],[569,1084],{"className":1085,"style":1087},[1086],"frac-line","border-bottom-width:0.04em;",[569,1089,1091,1094],{"style":1090},"top:-3.394em;",[569,1092],{"className":1093,"style":1044},[1043],[569,1095,1097],{"className":1096},[1048,1049,1050,1051],[569,1098,1100,1103,1106,1120,1123],{"className":1099},[612,1051],[569,1101,630],{"className":1102},[612,1051],[569,1104],{"className":1105,"style":1073},[742,1051],[569,1107,1109,1112,1116],{"className":1108},[724,1051],[569,1110,1069],{"className":1111},[1051],[569,1113,1115],{"className":1114},[1051],"i",[569,1117,1119],{"className":1118},[1051],"n",[569,1121],{"className":1122,"style":1073},[742,1051],[569,1124,590],{"className":1125},[612,613,1051],[569,1127,1130],{"className":1128},[1129],"vlist-s","​",[569,1132,1134],{"className":1133},[1031],[569,1135,1138],{"className":1136,"style":1137},[1035],"height:0.345em;",[569,1139],{},[569,1141],{"className":1142},[738,1019],[569,1144],{"className":1145,"style":743},[742],[569,1147,699],{"className":1148},[747],[569,1150],{"className":1151,"style":743},[742],[569,1153,1155,1159,1162,1165,1168,1171],{"className":1154},[603],[569,1156],{"className":1157,"style":1158},[607],"height:0.6984em;vertical-align:-0.0833em;",[569,1160,630],{"className":1161},[612],[569,1163],{"className":1164,"style":764},[742],[569,1166,926],{"className":1167},[724],[569,1169],{"className":1170,"style":764},[742],[569,1172,590],{"className":1173},[612,613],", auch er ist punktsymmetrisch.",[565,1176,1177,1178,1211,1212,1240,1241,1269,1270,1298,1299,1327],{},"Am Einheitskreis sieht man den Grund: Der Winkel ",[569,1179,1181,1196],{"className":1180},[572],[569,1182,1184],{"className":1183},[576],[578,1185,1186],{"xmlns":580},[582,1187,1188,1194],{},[585,1189,1190,1192],{},[628,1191,630],{},[588,1193,590],{},[592,1195,635],{"encoding":594},[569,1197,1199],{"className":1198,"ariaHidden":599},[598],[569,1200,1202,1205,1208],{"className":1201},[603],[569,1203],{"className":1204,"style":645},[607],[569,1206,630],{"className":1207},[612],[569,1209,590],{"className":1210},[612,613]," wird im Uhrzeigersinn abgetragen. Sein Punkt ist das Spiegelbild des Punkts zu ",[569,1213,1215,1228],{"className":1214},[572],[569,1216,1218],{"className":1217},[576],[578,1219,1220],{"xmlns":580},[582,1221,1222,1226],{},[585,1223,1224],{},[588,1225,590],{},[592,1227,590],{"encoding":594},[569,1229,1231],{"className":1230,"ariaHidden":599},[598],[569,1232,1234,1237],{"className":1233},[603],[569,1235],{"className":1236,"style":608},[607],[569,1238,590],{"className":1239},[612,613]," an der ",[569,1242,1244,1257],{"className":1243},[572],[569,1245,1247],{"className":1246},[576],[578,1248,1249],{"xmlns":580},[582,1250,1251,1255],{},[585,1252,1253],{},[588,1254,590],{},[592,1256,590],{"encoding":594},[569,1258,1260],{"className":1259,"ariaHidden":599},[598],[569,1261,1263,1266],{"className":1262},[603],[569,1264],{"className":1265,"style":608},[607],[569,1267,590],{"className":1268},[612,613],"-Achse. Die ",[569,1271,1273,1286],{"className":1272},[572],[569,1274,1276],{"className":1275},[576],[578,1277,1278],{"xmlns":580},[582,1279,1280,1284],{},[585,1281,1282],{},[588,1283,590],{},[592,1285,590],{"encoding":594},[569,1287,1289],{"className":1288,"ariaHidden":599},[598],[569,1290,1292,1295],{"className":1291},[603],[569,1293],{"className":1294,"style":608},[607],[569,1296,590],{"className":1297},[612,613],"-Koordinate (Kosinus) bleibt, die ",[569,1300,1302,1315],{"className":1301},[572],[569,1303,1305],{"className":1304},[576],[578,1306,1307],{"xmlns":580},[582,1308,1309,1313],{},[585,1310,1311],{},[588,1312,887],{},[592,1314,887],{"encoding":594},[569,1316,1318],{"className":1317,"ariaHidden":599},[598],[569,1319,1321,1324],{"className":1320},[603],[569,1322],{"className":1323,"style":899},[607],[569,1325,887],{"className":1326,"style":903},[612,613],"-Koordinate (Sinus) wechselt das Vorzeichen.",[565,1329,1330,1331,1359,1360,1506,1507,1648],{},"Spiegelt man stattdessen an der ",[569,1332,1334,1347],{"className":1333},[572],[569,1335,1337],{"className":1336},[576],[578,1338,1339],{"xmlns":580},[582,1340,1341,1345],{},[585,1342,1343],{},[588,1344,887],{},[592,1346,887],{"encoding":594},[569,1348,1350],{"className":1349,"ariaHidden":599},[598],[569,1351,1353,1356],{"className":1352},[603],[569,1354],{"className":1355,"style":899},[607],[569,1357,887],{"className":1358,"style":903},[612,613],"-Achse, erhält man eine weitere nützliche Symmetrie: ",[569,1361,1363,1405],{"className":1362},[572],[569,1364,1366],{"className":1365},[576],[578,1367,1368],{"xmlns":580},[582,1369,1370,1402],{},[585,1371,1372,1374,1376,1378,1388,1390,1392,1394,1396,1398,1400],{},[588,1373,682],{},[628,1375,685],{},[628,1377,689],{"stretchy":688},[1379,1380,1381,1385],"msup",{},[1382,1383,1384],"mn",{},"180",[628,1386,1387],{},"∘",[628,1389,630],{},[588,1391,590],{},[628,1393,696],{"stretchy":688},[628,1395,699],{},[588,1397,682],{},[628,1399,685],{},[588,1401,590],{},[592,1403,1404],{"encoding":594},"\\sin(180^\\circ - x) = \\sin x",[569,1406,1408,1469,1490],{"className":1407,"ariaHidden":599},[598],[569,1409,1411,1414,1417,1420,1424,1459,1463,1466],{"className":1410},[603],[569,1412],{"className":1413,"style":720},[607],[569,1415,682],{"className":1416},[724],[569,1418,689],{"className":1419},[728],[569,1421,1423],{"className":1422},[612],"18",[569,1425,1427,1431],{"className":1426},[612],[569,1428,1430],{"className":1429},[612],"0",[569,1432,1435],{"className":1433},[1434],"msupsub",[569,1436,1438],{"className":1437},[1026],[569,1439,1441],{"className":1440},[1031],[569,1442,1445],{"className":1443,"style":1444},[1035],"height:0.6741em;",[569,1446,1448,1452],{"style":1447},"top:-3.063em;margin-right:0.05em;",[569,1449],{"className":1450,"style":1451},[1043],"height:2.7em;",[569,1453,1455],{"className":1454},[1048,1049,1050,1051],[569,1456,1387],{"className":1457},[1458,1051],"mbin",[569,1460],{"className":1461,"style":1462},[742],"margin-right:0.2222em;",[569,1464,630],{"className":1465},[1458],[569,1467],{"className":1468,"style":1462},[742],[569,1470,1472,1475,1478,1481,1484,1487],{"className":1471},[603],[569,1473],{"className":1474,"style":720},[607],[569,1476,590],{"className":1477},[612,613],[569,1479,696],{"className":1480},[738],[569,1482],{"className":1483,"style":743},[742],[569,1485,699],{"className":1486},[747],[569,1488],{"className":1489,"style":743},[742],[569,1491,1493,1497,1500,1503],{"className":1492},[603],[569,1494],{"className":1495,"style":1496},[607],"height:0.6679em;",[569,1498,682],{"className":1499},[724],[569,1501],{"className":1502,"style":764},[742],[569,1504,590],{"className":1505},[612,613]," und ",[569,1508,1510,1550],{"className":1509},[572],[569,1511,1513],{"className":1512},[576],[578,1514,1515],{"xmlns":580},[582,1516,1517,1547],{},[585,1518,1519,1521,1523,1525,1531,1533,1535,1537,1539,1541,1543,1545],{},[588,1520,799],{},[628,1522,685],{},[628,1524,689],{"stretchy":688},[1379,1526,1527,1529],{},[1382,1528,1384],{},[628,1530,1387],{},[628,1532,630],{},[588,1534,590],{},[628,1536,696],{"stretchy":688},[628,1538,699],{},[628,1540,630],{},[588,1542,799],{},[628,1544,685],{},[588,1546,590],{},[592,1548,1549],{"encoding":594},"\\cos(180^\\circ - x) = -\\cos x",[569,1551,1553,1606,1627],{"className":1552,"ariaHidden":599},[598],[569,1554,1556,1559,1562,1565,1568,1597,1600,1603],{"className":1555},[603],[569,1557],{"className":1558,"style":720},[607],[569,1560,799],{"className":1561},[724],[569,1563,689],{"className":1564},[728],[569,1566,1423],{"className":1567},[612],[569,1569,1571,1574],{"className":1570},[612],[569,1572,1430],{"className":1573},[612],[569,1575,1577],{"className":1576},[1434],[569,1578,1580],{"className":1579},[1026],[569,1581,1583],{"className":1582},[1031],[569,1584,1586],{"className":1585,"style":1444},[1035],[569,1587,1588,1591],{"style":1447},[569,1589],{"className":1590,"style":1451},[1043],[569,1592,1594],{"className":1593},[1048,1049,1050,1051],[569,1595,1387],{"className":1596},[1458,1051],[569,1598],{"className":1599,"style":1462},[742],[569,1601,630],{"className":1602},[1458],[569,1604],{"className":1605,"style":1462},[742],[569,1607,1609,1612,1615,1618,1621,1624],{"className":1608},[603],[569,1610],{"className":1611,"style":720},[607],[569,1613,590],{"className":1614},[612,613],[569,1616,696],{"className":1617},[738],[569,1619],{"className":1620,"style":743},[742],[569,1622,699],{"className":1623},[747],[569,1625],{"className":1626,"style":743},[742],[569,1628,1630,1633,1636,1639,1642,1645],{"className":1629},[603],[569,1631],{"className":1632,"style":645},[607],[569,1634,630],{"className":1635},[612],[569,1637],{"className":1638,"style":764},[742],[569,1640,799],{"className":1641},[724],[569,1643],{"className":1644,"style":764},[742],[569,1646,590],{"className":1647},[612,613],".",[560,1650,1652],{"id":1651},"beispiele","Beispiele",[569,1654,1657],{"className":1655},[1656],"katex-display",[569,1658,1660,1716],{"className":1659},[572],[569,1661,1663],{"className":1662},[576],[578,1664,1666],{"xmlns":580,"display":1665},"block",[582,1667,1668,1713],{},[585,1669,1670,1672,1674,1676,1678,1685,1687,1689,1691,1693,1695,1701,1703,1705],{},[588,1671,682],{},[628,1673,685],{},[628,1675,689],{"stretchy":688},[628,1677,630],{},[1379,1679,1680,1683],{},[1382,1681,1682],{},"30",[628,1684,1387],{},[628,1686,696],{"stretchy":688},[628,1688,699],{},[628,1690,630],{},[588,1692,682],{},[628,1694,685],{},[1379,1696,1697,1699],{},[1382,1698,1682],{},[628,1700,1387],{},[628,1702,699],{},[628,1704,630],{},[940,1706,1707,1710],{},[1382,1708,1709],{},"1",[1382,1711,1712],{},"2",[592,1714,1715],{"encoding":594},"\\sin(-30^\\circ) = -\\sin 30^\\circ = -\\frac{1}{2}",[569,1717,1719,1781,1841],{"className":1718,"ariaHidden":599},[598],[569,1720,1722,1725,1728,1731,1734,1738,1769,1772,1775,1778],{"className":1721},[603],[569,1723],{"className":1724,"style":720},[607],[569,1726,682],{"className":1727},[724],[569,1729,689],{"className":1730},[728],[569,1732,630],{"className":1733},[612],[569,1735,1737],{"className":1736},[612],"3",[569,1739,1741,1744],{"className":1740},[612],[569,1742,1430],{"className":1743},[612],[569,1745,1747],{"className":1746},[1434],[569,1748,1750],{"className":1749},[1026],[569,1751,1753],{"className":1752},[1031],[569,1754,1757],{"className":1755,"style":1756},[1035],"height:0.7241em;",[569,1758,1760,1763],{"style":1759},"top:-3.113em;margin-right:0.05em;",[569,1761],{"className":1762,"style":1451},[1043],[569,1764,1766],{"className":1765},[1048,1049,1050,1051],[569,1767,1387],{"className":1768},[1458,1051],[569,1770,696],{"className":1771},[738],[569,1773],{"className":1774,"style":743},[742],[569,1776,699],{"className":1777},[747],[569,1779],{"className":1780,"style":743},[742],[569,1782,1784,1788,1791,1794,1797,1800,1803,1832,1835,1838],{"className":1783},[603],[569,1785],{"className":1786,"style":1787},[607],"height:0.8074em;vertical-align:-0.0833em;",[569,1789,630],{"className":1790},[612],[569,1792],{"className":1793,"style":764},[742],[569,1795,682],{"className":1796},[724],[569,1798],{"className":1799,"style":764},[742],[569,1801,1737],{"className":1802},[612],[569,1804,1806,1809],{"className":1805},[612],[569,1807,1430],{"className":1808},[612],[569,1810,1812],{"className":1811},[1434],[569,1813,1815],{"className":1814},[1026],[569,1816,1818],{"className":1817},[1031],[569,1819,1821],{"className":1820,"style":1756},[1035],[569,1822,1823,1826],{"style":1759},[569,1824],{"className":1825,"style":1451},[1043],[569,1827,1829],{"className":1828},[1048,1049,1050,1051],[569,1830,1387],{"className":1831},[1458,1051],[569,1833],{"className":1834,"style":743},[742],[569,1836,699],{"className":1837},[747],[569,1839],{"className":1840,"style":743},[742],[569,1842,1844,1848,1851],{"className":1843},[603],[569,1845],{"className":1846,"style":1847},[607],"height:2.0074em;vertical-align:-0.686em;",[569,1849,630],{"className":1850},[612],[569,1852,1854,1857,1914],{"className":1853},[612],[569,1855],{"className":1856},[728,1019],[569,1858,1860],{"className":1859},[940],[569,1861,1863,1905],{"className":1862},[1026,1027],[569,1864,1866,1902],{"className":1865},[1031],[569,1867,1870,1882,1890],{"className":1868,"style":1869},[1035],"height:1.3214em;",[569,1871,1873,1876],{"style":1872},"top:-2.314em;",[569,1874],{"className":1875,"style":1044},[1043],[569,1877,1879],{"className":1878},[612],[569,1880,1712],{"className":1881},[612],[569,1883,1884,1887],{"style":1079},[569,1885],{"className":1886,"style":1044},[1043],[569,1888],{"className":1889,"style":1087},[1086],[569,1891,1893,1896],{"style":1892},"top:-3.677em;",[569,1894],{"className":1895,"style":1044},[1043],[569,1897,1899],{"className":1898},[612],[569,1900,1709],{"className":1901},[612],[569,1903,1130],{"className":1904},[1129],[569,1906,1908],{"className":1907},[1031],[569,1909,1912],{"className":1910,"style":1911},[1035],"height:0.686em;",[569,1913],{},[569,1915],{"className":1916},[738,1019],[569,1918,1920],{"className":1919},[1656],[569,1921,1923,1972],{"className":1922},[572],[569,1924,1926],{"className":1925},[576],[578,1927,1928],{"xmlns":580,"display":1665},[582,1929,1930,1969],{},[585,1931,1932,1934,1936,1938,1940,1947,1949,1951,1953,1955,1961,1963],{},[588,1933,799],{},[628,1935,685],{},[628,1937,689],{"stretchy":688},[628,1939,630],{},[1379,1941,1942,1945],{},[1382,1943,1944],{},"60",[628,1946,1387],{},[628,1948,696],{"stretchy":688},[628,1950,699],{},[588,1952,799],{},[628,1954,685],{},[1379,1956,1957,1959],{},[1382,1958,1944],{},[628,1960,1387],{},[628,1962,699],{},[940,1964,1965,1967],{},[1382,1966,1709],{},[1382,1968,1712],{},[592,1970,1971],{"encoding":594},"\\cos(-60^\\circ) = \\cos 60^\\circ = \\frac{1}{2}",[569,1973,1975,2035,2088],{"className":1974,"ariaHidden":599},[598],[569,1976,1978,1981,1984,1987,1990,1994,2023,2026,2029,2032],{"className":1977},[603],[569,1979],{"className":1980,"style":720},[607],[569,1982,799],{"className":1983},[724],[569,1985,689],{"className":1986},[728],[569,1988,630],{"className":1989},[612],[569,1991,1993],{"className":1992},[612],"6",[569,1995,1997,2000],{"className":1996},[612],[569,1998,1430],{"className":1999},[612],[569,2001,2003],{"className":2002},[1434],[569,2004,2006],{"className":2005},[1026],[569,2007,2009],{"className":2008},[1031],[569,2010,2012],{"className":2011,"style":1756},[1035],[569,2013,2014,2017],{"style":1759},[569,2015],{"className":2016,"style":1451},[1043],[569,2018,2020],{"className":2019},[1048,1049,1050,1051],[569,2021,1387],{"className":2022},[1458,1051],[569,2024,696],{"className":2025},[738],[569,2027],{"className":2028,"style":743},[742],[569,2030,699],{"className":2031},[747],[569,2033],{"className":2034,"style":743},[742],[569,2036,2038,2041,2044,2047,2050,2079,2082,2085],{"className":2037},[603],[569,2039],{"className":2040,"style":1756},[607],[569,2042,799],{"className":2043},[724],[569,2045],{"className":2046,"style":764},[742],[569,2048,1993],{"className":2049},[612],[569,2051,2053,2056],{"className":2052},[612],[569,2054,1430],{"className":2055},[612],[569,2057,2059],{"className":2058},[1434],[569,2060,2062],{"className":2061},[1026],[569,2063,2065],{"className":2064},[1031],[569,2066,2068],{"className":2067,"style":1756},[1035],[569,2069,2070,2073],{"style":1759},[569,2071],{"className":2072,"style":1451},[1043],[569,2074,2076],{"className":2075},[1048,1049,1050,1051],[569,2077,1387],{"className":2078},[1458,1051],[569,2080],{"className":2081,"style":743},[742],[569,2083,699],{"className":2084},[747],[569,2086],{"className":2087,"style":743},[742],[569,2089,2091,2094],{"className":2090},[603],[569,2092],{"className":2093,"style":1847},[607],[569,2095,2097,2100,2153],{"className":2096},[612],[569,2098],{"className":2099},[728,1019],[569,2101,2103],{"className":2102},[940],[569,2104,2106,2145],{"className":2105},[1026,1027],[569,2107,2109,2142],{"className":2108},[1031],[569,2110,2112,2123,2131],{"className":2111,"style":1869},[1035],[569,2113,2114,2117],{"style":1872},[569,2115],{"className":2116,"style":1044},[1043],[569,2118,2120],{"className":2119},[612],[569,2121,1712],{"className":2122},[612],[569,2124,2125,2128],{"style":1079},[569,2126],{"className":2127,"style":1044},[1043],[569,2129],{"className":2130,"style":1087},[1086],[569,2132,2133,2136],{"style":1892},[569,2134],{"className":2135,"style":1044},[1043],[569,2137,2139],{"className":2138},[612],[569,2140,1709],{"className":2141},[612],[569,2143,1130],{"className":2144},[1129],[569,2146,2148],{"className":2147},[1031],[569,2149,2151],{"className":2150,"style":1911},[1035],[569,2152],{},[569,2154],{"className":2155},[738,1019],[565,2157,2158],{},"Termvereinfachung mit beiden Regeln:",[569,2160,2162],{"className":2161},[1656],[569,2163,2165,2280],{"className":2164},[572],[569,2166,2168],{"className":2167},[576],[578,2169,2170],{"xmlns":580,"display":1665},[582,2171,2172,2277],{},[585,2173,2174,2184,2186,2188,2190,2192,2195,2197,2199,2201,2203,2205,2207,2209,2211,2213,2215,2217,2219,2221,2223,2225,2231,2233,2235,2237,2239,2241,2243,2245,2247,2257,2259,2261,2271,2273,2275],{},[1379,2175,2176,2182],{},[585,2177,2178,2180],{},[588,2179,682],{},[628,2181,685],{},[1382,2183,1712],{},[628,2185,689],{"stretchy":688},[628,2187,630],{},[588,2189,590],{},[628,2191,696],{"stretchy":688},[628,2193,2194],{},"+",[588,2196,799],{},[628,2198,685],{},[628,2200,689],{"stretchy":688},[628,2202,630],{},[588,2204,590],{},[628,2206,696],{"stretchy":688},[588,2208,799],{},[628,2210,685],{},[588,2212,590],{},[628,2214,699],{},[628,2216,689],{"stretchy":688},[628,2218,630],{},[588,2220,682],{},[628,2222,685],{},[588,2224,590],{},[1379,2226,2227,2229],{},[628,2228,696],{"stretchy":688},[1382,2230,1712],{},[628,2232,2194],{},[588,2234,799],{},[628,2236,685],{},[588,2238,590],{},[588,2240,799],{},[628,2242,685],{},[588,2244,590],{},[628,2246,699],{},[1379,2248,2249,2255],{},[585,2250,2251,2253],{},[588,2252,682],{},[628,2254,685],{},[1382,2256,1712],{},[588,2258,590],{},[628,2260,2194],{},[1379,2262,2263,2269],{},[585,2264,2265,2267],{},[588,2266,799],{},[628,2268,685],{},[1382,2270,1712],{},[588,2272,590],{},[628,2274,699],{},[1382,2276,1709],{},[592,2278,2279],{"encoding":594},"\\sin^2(-x) + \\cos(-x) \\cos x = (-\\sin x)^2 + \\cos x \\cos x = \\sin^2 x + \\cos^2 x = 1",[569,2281,2283,2342,2384,2448,2484,2535,2585],{"className":2282,"ariaHidden":599},[598],[569,2284,2286,2290,2321,2324,2327,2330,2333,2336,2339],{"className":2285},[603],[569,2287],{"className":2288,"style":2289},[607],"height:1.1219em;vertical-align:-0.25em;",[569,2291,2293,2296],{"className":2292},[724],[569,2294,682],{"className":2295},[724],[569,2297,2299],{"className":2298},[1434],[569,2300,2302],{"className":2301},[1026],[569,2303,2305],{"className":2304},[1031],[569,2306,2309],{"className":2307,"style":2308},[1035],"height:0.8719em;",[569,2310,2312,2315],{"style":2311},"top:-3.1208em;margin-right:0.05em;",[569,2313],{"className":2314,"style":1451},[1043],[569,2316,2318],{"className":2317},[1048,1049,1050,1051],[569,2319,1712],{"className":2320},[612,1051],[569,2322,689],{"className":2323},[728],[569,2325,630],{"className":2326},[612],[569,2328,590],{"className":2329},[612,613],[569,2331,696],{"className":2332},[738],[569,2334],{"className":2335,"style":1462},[742],[569,2337,2194],{"className":2338},[1458],[569,2340],{"className":2341,"style":1462},[742],[569,2343,2345,2348,2351,2354,2357,2360,2363,2366,2369,2372,2375,2378,2381],{"className":2344},[603],[569,2346],{"className":2347,"style":720},[607],[569,2349,799],{"className":2350},[724],[569,2352,689],{"className":2353},[728],[569,2355,630],{"className":2356},[612],[569,2358,590],{"className":2359},[612,613],[569,2361,696],{"className":2362},[738],[569,2364],{"className":2365,"style":764},[742],[569,2367,799],{"className":2368},[724],[569,2370],{"className":2371,"style":764},[742],[569,2373,590],{"className":2374},[612,613],[569,2376],{"className":2377,"style":743},[742],[569,2379,699],{"className":2380},[747],[569,2382],{"className":2383,"style":743},[742],[569,2385,2387,2391,2394,2397,2400,2403,2406,2409,2439,2442,2445],{"className":2386},[603],[569,2388],{"className":2389,"style":2390},[607],"height:1.1141em;vertical-align:-0.25em;",[569,2392,689],{"className":2393},[728],[569,2395,630],{"className":2396},[612],[569,2398],{"className":2399,"style":764},[742],[569,2401,682],{"className":2402},[724],[569,2404],{"className":2405,"style":764},[742],[569,2407,590],{"className":2408},[612,613],[569,2410,2412,2415],{"className":2411},[738],[569,2413,696],{"className":2414},[738],[569,2416,2418],{"className":2417},[1434],[569,2419,2421],{"className":2420},[1026],[569,2422,2424],{"className":2423},[1031],[569,2425,2428],{"className":2426,"style":2427},[1035],"height:0.8641em;",[569,2429,2430,2433],{"style":1759},[569,2431],{"className":2432,"style":1451},[1043],[569,2434,2436],{"className":2435},[1048,1049,1050,1051],[569,2437,1712],{"className":2438},[612,1051],[569,2440],{"className":2441,"style":1462},[742],[569,2443,2194],{"className":2444},[1458],[569,2446],{"className":2447,"style":1462},[742],[569,2449,2451,2454,2457,2460,2463,2466,2469,2472,2475,2478,2481],{"className":2450},[603],[569,2452],{"className":2453,"style":608},[607],[569,2455,799],{"className":2456},[724],[569,2458],{"className":2459,"style":764},[742],[569,2461,590],{"className":2462},[612,613],[569,2464],{"className":2465,"style":764},[742],[569,2467,799],{"className":2468},[724],[569,2470],{"className":2471,"style":764},[742],[569,2473,590],{"className":2474},[612,613],[569,2476],{"className":2477,"style":743},[742],[569,2479,699],{"className":2480},[747],[569,2482],{"className":2483,"style":743},[742],[569,2485,2487,2491,2520,2523,2526,2529,2532],{"className":2486},[603],[569,2488],{"className":2489,"style":2490},[607],"height:0.9552em;vertical-align:-0.0833em;",[569,2492,2494,2497],{"className":2493},[724],[569,2495,682],{"className":2496},[724],[569,2498,2500],{"className":2499},[1434],[569,2501,2503],{"className":2502},[1026],[569,2504,2506],{"className":2505},[1031],[569,2507,2509],{"className":2508,"style":2308},[1035],[569,2510,2511,2514],{"style":2311},[569,2512],{"className":2513,"style":1451},[1043],[569,2515,2517],{"className":2516},[1048,1049,1050,1051],[569,2518,1712],{"className":2519},[612,1051],[569,2521],{"className":2522,"style":764},[742],[569,2524,590],{"className":2525},[612,613],[569,2527],{"className":2528,"style":1462},[742],[569,2530,2194],{"className":2531},[1458],[569,2533],{"className":2534,"style":1462},[742],[569,2536,2538,2541,2570,2573,2576,2579,2582],{"className":2537},[603],[569,2539],{"className":2540,"style":2427},[607],[569,2542,2544,2547],{"className":2543},[724],[569,2545,799],{"className":2546},[724],[569,2548,2550],{"className":2549},[1434],[569,2551,2553],{"className":2552},[1026],[569,2554,2556],{"className":2555},[1031],[569,2557,2559],{"className":2558,"style":2427},[1035],[569,2560,2561,2564],{"style":1759},[569,2562],{"className":2563,"style":1451},[1043],[569,2565,2567],{"className":2566},[1048,1049,1050,1051],[569,2568,1712],{"className":2569},[612,1051],[569,2571],{"className":2572,"style":764},[742],[569,2574,590],{"className":2575},[612,613],[569,2577],{"className":2578,"style":743},[742],[569,2580,699],{"className":2581},[747],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Fehler",[663,2600,2601,2977,3289],{},[666,2602,2603,2604,2695,2696,2878,2879,1648],{},"Die Regeln vertauschen und ",[569,2605,2607,2641],{"className":2606},[572],[569,2608,2610],{"className":2609},[576],[578,2611,2612],{"xmlns":580},[582,2613,2614,2638],{},[585,2615,2616,2618,2620,2622,2624,2626,2628,2630,2632,2634,2636],{},[588,2617,799],{},[628,2619,685],{},[628,2621,689],{"stretchy":688},[628,2623,630],{},[588,2625,590],{},[628,2627,696],{"stretchy":688},[628,2629,699],{},[628,2631,630],{},[588,2633,799],{},[628,2635,685],{},[588,2637,590],{},[592,2639,2640],{"encoding":594},"\\cos(-x) = -\\cos x",[569,2642,2644,2674],{"className":2643,"ariaHidden":599},[598],[569,2645,2647,2650,2653,2656,2659,2662,2665,2668,2671],{"className":2646},[603],[569,2648],{"className":2649,"style":720},[607],[569,2651,799],{"className":2652},[724],[569,2654,689],{"className":2655},[728],[569,2657,630],{"className":2658},[612],[569,2660,590],{"className":2661},[612,613],[569,2663,696],{"className":2664},[738],[569,2666],{"className":2667,"style":743},[742],[569,2669,699],{"className":2670},[747],[569,2672],{"className":2673,"style":743},[742],[569,2675,2677,2680,2683,2686,2689,2692],{"className":2676},[603],[569,2678],{"className":2679,"style":645},[607],[569,2681,630],{"className":2682},[612],[569,2684],{"className":2685,"style":764},[742],[569,2687,799],{"className":2688},[724],[569,2690],{"className":2691,"style":764},[742],[569,2693,590],{"className":2694},[612,613]," schreiben. Dann wäre ",[569,2697,2699,2737],{"className":2698},[572],[569,2700,2702],{"className":2701},[576],[578,2703,2704],{"xmlns":580},[582,2705,2706,2734],{},[585,2707,2708,2710,2712,2714,2716,2722,2724,2726,2728],{},[588,2709,799],{},[628,2711,685],{},[628,2713,689],{"stretchy":688},[628,2715,630],{},[1379,2717,2718,2720],{},[1382,2719,1944],{},[628,2721,1387],{},[628,2723,696],{"stretchy":688},[628,2725,699],{},[628,2727,630],{},[940,2729,2730,2732],{},[1382,2731,1709],{},[1382,2733,1712],{},[592,2735,2736],{"encoding":594},"\\cos(-60^\\circ) = -\\frac{1}{2}",[569,2738,2740,2799],{"className":2739,"ariaHidden":599},[598],[569,2741,2743,2746,2749,2752,2755,2758,2787,2790,2793,2796],{"className":2742},[603],[569,2744],{"className":2745,"style":720},[607],[569,2747,799],{"className":2748},[724],[569,2750,689],{"className":2751},[728],[569,2753,630],{"className":2754},[612],[569,2756,1993],{"className":2757},[612],[569,2759,2761,2764],{"className":2760},[612],[569,2762,1430],{"className":2763},[612],[569,2765,2767],{"className":2766},[1434],[569,2768,2770],{"className":2769},[1026],[569,2771,2773],{"className":2772},[1031],[569,2774,2776],{"className":2775,"style":1444},[1035],[569,2777,2778,2781],{"style":1447},[569,2779],{"className":2780,"style":1451},[1043],[569,2782,2784],{"className":2783},[1048,1049,1050,1051],[569,2785,1387],{"className":2786},[1458,1051],[569,2788,696],{"className":2789},[738],[569,2791],{"className":2792,"style":743},[742],[569,2794,699],{"className":2795},[747],[569,2797],{"className":2798,"style":743},[742],[569,2800,2802,2806,2809],{"className":2801},[603],[569,2803],{"className":2804,"style":2805},[607],"height:1.1901em;vertical-align:-0.345em;",[569,2807,630],{"className":2808},[612],[569,2810,2812,2815,2875],{"className":2811},[612],[569,2813],{"className":2814},[728,1019],[569,2816,2818],{"className":2817},[940],[569,2819,2821,2867],{"className":2820},[1026,1027],[569,2822,2824,2864],{"className":2823},[1031],[569,2825,2828,2842,2850],{"className":2826,"style":2827},[1035],"height:0.8451em;",[569,2829,2830,2833],{"style":1039},[569,2831],{"className":2832,"style":1044},[1043],[569,2834,2836],{"className":2835},[1048,1049,1050,1051],[569,2837,2839],{"className":2838},[612,1051],[569,2840,1712],{"className":2841},[612,1051],[569,2843,2844,2847],{"style":1079},[569,2845],{"className":2846,"style":1044},[1043],[569,2848],{"className":2849,"style":1087},[1086],[569,2851,2852,2855],{"style":1090},[569,2853],{"className":2854,"style":1044},[1043],[569,2856,2858],{"className":2857},[1048,1049,1050,1051],[569,2859,2861],{"className":2860},[612,1051],[569,2862,1709],{"className":2863},[612,1051],[569,2865,1130],{"className":2866},[1129],[569,2868,2870],{"className":2869},[1031],[569,2871,2873],{"className":2872,"style":1137},[1035],[569,2874],{},[569,2876],{"className":2877},[738,1019],", richtig ist 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Minus beim Quadrieren mitnehmen: ",[569,2981,2983,3045],{"className":2982},[572],[569,2984,2986],{"className":2985},[576],[578,2987,2988],{"xmlns":580},[582,2989,2990,3042],{},[585,2991,2992,3002,3004,3006,3008,3010,3012,3014,3016,3018,3020,3022,3028,3030,3040],{},[1379,2993,2994,3000],{},[585,2995,2996,2998],{},[588,2997,682],{},[628,2999,685],{},[1382,3001,1712],{},[628,3003,689],{"stretchy":688},[628,3005,630],{},[588,3007,590],{},[628,3009,696],{"stretchy":688},[628,3011,699],{},[628,3013,689],{"stretchy":688},[628,3015,630],{},[588,3017,682],{},[628,3019,685],{},[588,3021,590],{},[1379,3023,3024,3026],{},[628,3025,696],{"stretchy":688},[1382,3027,1712],{},[628,3029,699],{},[1379,3031,3032,3038],{},[585,3033,3034,3036],{},[588,3035,682],{},[628,3037,685],{},[1382,3039,1712],{},[588,3041,590],{},[592,3043,3044],{"encoding":594},"\\sin^2(-x) = (-\\sin x)^2 = \\sin^2 x",[569,3046,3048,3104,3168],{"className":3047,"ariaHidden":599},[598],[569,3049,3051,3054,3083,3086,3089,3092,3095,3098,3101],{"className":3050},[603],[569,3052],{"className":3053,"style":2289},[607],[569,3055,3057,3060],{"className":3056},[724],[569,3058,682],{"className":3059},[724],[569,3061,3063],{"className":3062},[1434],[569,3064,3066],{"className":3065},[1026],[569,3067,3069],{"className":3068},[1031],[569,3070,3072],{"className":3071,"style":2308},[1035],[569,3073,3074,3077],{"style":2311},[569,3075],{"className":3076,"style":1451},[1043],[569,3078,3080],{"className":3079},[1048,1049,1050,1051],[569,3081,1712],{"className":3082},[612,1051],[569,3084,689],{"className":3085},[728],[569,3087,630],{"className":3088},[612],[569,3090,590],{"className":3091},[612,613],[569,3093,696],{"className":3094},[738],[569,3096],{"className":3097,"style":743},[742],[569,3099,699],{"className":3100},[747],[569,3102],{"className":3103,"style":743},[742],[569,3105,3107,3111,3114,3117,3120,3123,3126,3129,3159,3162,3165],{"className":3106},[603],[569,3108],{"className":3109,"style":3110},[607],"height:1.0641em;vertical-align:-0.25em;",[569,3112,689],{"className":3113},[728],[569,3115,630],{"className":3116},[612],[569,3118],{"className":3119,"style":764},[742],[569,3121,682],{"className":3122},[724],[569,3124],{"className":3125,"style":764},[742],[569,3127,590],{"className":3128},[612,613],[569,3130,3132,3135],{"className":3131},[738],[569,3133,696],{"className":3134},[738],[569,3136,3138],{"className":3137},[1434],[569,3139,3141],{"className":3140},[1026],[569,3142,3144],{"className":3143},[1031],[569,3145,3148],{"className":3146,"style":3147},[1035],"height:0.8141em;",[569,3149,3150,3153],{"style":1447},[569,3151],{"className":3152,"style":1451},[1043],[569,3154,3156],{"className":3155},[1048,1049,1050,1051],[569,3157,1712],{"className":3158},[612,1051],[569,3160],{"className":3161,"style":743},[742],[569,3163,699],{"className":3164},[747],[569,3166],{"className":3167,"style":743},[742],[569,3169,3171,3174,3203,3206],{"className":3170},[603],[569,3172],{"className":3173,"style":2308},[607],[569,3175,3177,3180],{"className":3176},[724],[569,3178,682],{"className":3179},[724],[569,3181,3183],{"className":3182},[1434],[569,3184,3186],{"className":3185},[1026],[569,3187,3189],{"className":3188},[1031],[569,3190,3192],{"className":3191,"style":2308},[1035],[569,3193,3194,3197],{"style":2311},[569,3195],{"className":3196,"style":1451},[1043],[569,3198,3200],{"className":3199},[1048,1049,1050,1051],[569,3201,1712],{"className":3202},[612,1051],[569,3204],{"className":3205,"style":764},[742],[569,3207,590],{"className":3208},[612,613],", nicht ",[569,3211,3213,3239],{"className":3212},[572],[569,3214,3216],{"className":3215},[576],[578,3217,3218],{"xmlns":580},[582,3219,3220,3236],{},[585,3221,3222,3224,3234],{},[628,3223,630],{},[1379,3225,3226,3232],{},[585,3227,3228,3230],{},[588,3229,682],{},[628,3231,685],{},[1382,3233,1712],{},[588,3235,590],{},[592,3237,3238],{"encoding":594},"-\\sin^2 x",[569,3240,3242],{"className":3241,"ariaHidden":599},[598],[569,3243,3245,3248,3251,3254,3283,3286],{"className":3244},[603],[569,3246],{"className":3247,"style":2490},[607],[569,3249,630],{"className":3250},[612],[569,3252],{"className":3253,"style":764},[742],[569,3255,3257,3260],{"className":3256},[724],[569,3258,682],{"className":3259},[724],[569,3261,3263],{"className":3262},[1434],[569,3264,3266],{"className":3265},[1026],[569,3267,3269],{"className":3268},[1031],[569,3270,3272],{"className":3271,"style":2308},[1035],[569,3273,3274,3277],{"style":2311},[569,3275],{"className":3276,"style":1451},[1043],[569,3278,3280],{"className":3279},[1048,1049,1050,1051],[569,3281,1712],{"className":3282},[612,1051],[569,3284],{"className":3285,"style":764},[742],[569,3287,590],{"className":3288},[612,613],[666,3290,3291,3292,3422,3423,3507,3508,3598,3599,3662,3663,3722,3723,1648],{},"Beim Lösen von Gleichungen die gespiegelte Lösung vergessen. Aus ",[569,3293,3295,3321],{"className":3294},[572],[569,3296,3298],{"className":3297},[576],[578,3299,3300],{"xmlns":580},[582,3301,3302,3318],{},[585,3303,3304,3306,3308,3310,3312],{},[588,3305,799],{},[628,3307,685],{},[588,3309,590],{},[628,3311,699],{},[940,3313,3314,3316],{},[1382,3315,1709],{},[1382,3317,1712],{},[592,3319,3320],{"encoding":594},"\\cos x = \\frac{1}{2}",[569,3322,3324,3348],{"className":3323,"ariaHidden":599},[598],[569,3325,3327,3330,3333,3336,3339,3342,3345],{"className":3326},[603],[569,3328],{"className":3329,"style":608},[607],[569,3331,799],{"className":3332},[724],[569,3334],{"className":3335,"style":764},[742],[569,3337,590],{"className":3338},[612,613],[569,3340],{"className":3341,"style":743},[742],[569,3343,699],{"className":3344},[747],[569,3346],{"className":3347,"style":743},[742],[569,3349,3351,3354],{"className":3350},[603],[569,3352],{"className":3353,"style":2805},[607],[569,3355,3357,3360,3419],{"className":3356},[612],[569,3358],{"className":3359},[728,1019],[569,3361,3363],{"className":3362},[940],[569,3364,3366,3411],{"className":3365},[1026,1027],[569,3367,3369,3408],{"className":3368},[1031],[569,3370,3372,3386,3394],{"className":3371,"style":2827},[1035],[569,3373,3374,3377],{"style":1039},[569,3375],{"className":3376,"style":1044},[1043],[569,3378,3380],{"className":3379},[1048,1049,1050,1051],[569,3381,3383],{"className":3382},[612,1051],[569,3384,1712],{"className":3385},[612,1051],[569,3387,3388,3391],{"style":1079},[569,3389],{"className":3390,"style":1044},[1043],[569,3392],{"className":3393,"style":1087},[1086],[569,3395,3396,3399],{"style":1090},[569,3397],{"className":3398,"style":1044},[1043],[569,3400,3402],{"className":3401},[1048,1049,1050,1051],[569,3403,3405],{"className":3404},[612,1051],[569,3406,1709],{"className":3407},[612,1051],[569,3409,1130],{"className":3410},[1129],[569,3412,3414],{"className":3413},[1031],[569,3415,3417],{"className":3416,"style":1137},[1035],[569,3418],{},[569,3420],{"className":3421},[738,1019]," folgt nicht nur ",[569,3424,3426,3448],{"className":3425},[572],[569,3427,3429],{"className":3428},[576],[578,3430,3431],{"xmlns":580},[582,3432,3433,3445],{},[585,3434,3435,3437,3439],{},[588,3436,590],{},[628,3438,699],{},[1379,3440,3441,3443],{},[1382,3442,1944],{},[628,3444,1387],{},[592,3446,3447],{"encoding":594},"x = 60^\\circ",[569,3449,3451,3469],{"className":3450,"ariaHidden":599},[598],[569,3452,3454,3457,3460,3463,3466],{"className":3453},[603],[569,3455],{"className":3456,"style":608},[607],[569,3458,590],{"className":3459},[612,613],[569,3461],{"className":3462,"style":743},[742],[569,3464,699],{"className":3465},[747],[569,3467],{"className":3468,"style":743},[742],[569,3470,3472,3475,3478],{"className":3471},[603],[569,3473],{"className":3474,"style":1444},[607],[569,3476,1993],{"className":3477},[612],[569,3479,3481,3484],{"className":3480},[612],[569,3482,1430],{"className":3483},[612],[569,3485,3487],{"className":3486},[1434],[569,3488,3490],{"className":3489},[1026],[569,3491,3493],{"className":3492},[1031],[569,3494,3496],{"className":3495,"style":1444},[1035],[569,3497,3498,3501],{"style":1447},[569,3499],{"className":3500,"style":1451},[1043],[569,3502,3504],{"className":3503},[1048,1049,1050,1051],[569,3505,1387],{"className":3506},[1458,1051],", sondern wegen der Symmetrie auch ",[569,3509,3511,3535],{"className":3510},[572],[569,3512,3514],{"className":3513},[576],[578,3515,3516],{"xmlns":580},[582,3517,3518,3532],{},[585,3519,3520,3522,3524,3526],{},[588,3521,590],{},[628,3523,699],{},[628,3525,630],{},[1379,3527,3528,3530],{},[1382,3529,1944],{},[628,3531,1387],{},[592,3533,3534],{"encoding":594},"x = -60^\\circ",[569,3536,3538,3556],{"className":3537,"ariaHidden":599},[598],[569,3539,3541,3544,3547,3550,3553],{"className":3540},[603],[569,3542],{"className":3543,"style":608},[607],[569,3545,590],{"className":3546},[612,613],[569,3548],{"className":3549,"style":743},[742],[569,3551,699],{"className":3552},[747],[569,3554],{"className":3555,"style":743},[742],[569,3557,3559,3563,3566,3569],{"className":3558},[603],[569,3560],{"className":3561,"style":3562},[607],"height:0.7574em;vertical-align:-0.0833em;",[569,3564,630],{"className":3565},[612],[569,3567,1993],{"className":3568},[612],[569,3570,3572,3575],{"className":3571},[612],[569,3573,1430],{"className":3574},[612],[569,3576,3578],{"className":3577},[1434],[569,3579,3581],{"className":3580},[1026],[569,3582,3584],{"className":3583},[1031],[569,3585,3587],{"className":3586,"style":1444},[1035],[569,3588,3589,3592],{"style":1447},[569,3590],{"className":3591,"style":1451},[1043],[569,3593,3595],{"className":3594},[1048,1049,1050,1051],[569,3596,1387],{"className":3597},[1458,1051],", also ",[569,3600,3602,3621],{"className":3601},[572],[569,3603,3605],{"className":3604},[576],[578,3606,3607],{"xmlns":580},[582,3608,3609,3618],{},[585,3610,3611],{},[1379,3612,3613,3616],{},[1382,3614,3615],{},"300",[628,3617,1387],{},[592,3619,3620],{"encoding":594},"300^\\circ",[569,3622,3624],{"className":3623,"ariaHidden":599},[598],[569,3625,3627,3630,3633],{"className":3626},[603],[569,3628],{"className":3629,"style":1444},[607],[569,3631,1682],{"className":3632},[612],[569,3634,3636,3639],{"className":3635},[612],[569,3637,1430],{"className":3638},[612],[569,3640,3642],{"className":3641},[1434],[569,3643,3645],{"className":3644},[1026],[569,3646,3648],{"className":3647},[1031],[569,3649,3651],{"className":3650,"style":1444},[1035],[569,3652,3653,3656],{"style":1447},[569,3654],{"className":3655,"style":1451},[1043],[569,3657,3659],{"className":3658},[1048,1049,1050,1051],[569,3660,1387],{"className":3661},[1458,1051]," im Bereich von 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