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beiden Formeln mit der positiven Wurzel gelten für Winkel zwischen ",[573,1201,1203,1223],{"className":1202},[576],[573,1204,1206],{"className":1205},[580],[582,1207,1208],{"xmlns":584},[586,1209,1210,1220],{},[589,1211,1212],{},[666,1213,1214,1217],{},[634,1215,1216],{},"0",[674,1218,1219],{},"∘",[596,1221,1222],{"encoding":598},"0^\\circ",[573,1224,1226],{"className":1225,"ariaHidden":604},[603],[573,1227,1229,1233],{"className":1228},[608],[573,1230],{"className":1231,"style":1232},[612],"height:0.6741em;",[573,1234,1236,1239],{"className":1235},[617],[573,1237,1216],{"className":1238},[617],[573,1240,1242],{"className":1241},[705],[573,1243,1245],{"className":1244},[709],[573,1246,1248],{"className":1247},[713],[573,1249,1251],{"className":1250,"style":1232},[717],[573,1252,1253,1256],{"style":822},[573,1254],{"className":1255,"style":725},[724],[573,1257,1259],{"className":1258},[729,730,731,732],[573,1260,1219],{"className":1261},[993,732]," und 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Bei größeren Winkeln können Sinus oder Kosinus negativ sein, dann muss man das Vorzeichen selbst bestimmen.",[559,1329,1331],{"id":1330},"herleitung","Herleitung",[564,1333,1334,1335,1364,1365,1395,1396,1425,1426,1262,1568,1700,1701,1866],{},"Im rechtwinkligen Dreieck mit den Katheten ",[573,1336,1338,1352],{"className":1337},[576],[573,1339,1341],{"className":1340},[580],[582,1342,1343],{"xmlns":584},[586,1344,1345,1350],{},[589,1346,1347],{},[592,1348,1349],{},"a",[596,1351,1349],{"encoding":598},[573,1353,1355],{"className":1354,"ariaHidden":604},[603],[573,1356,1358,1361],{"className":1357},[608],[573,1359],{"className":1360,"style":613},[612],[573,1362,1349],{"className":1363},[617,618],", ",[573,1366,1368,1382],{"className":1367},[576],[573,1369,1371],{"className":1370},[580],[582,1372,1373],{"xmlns":584},[586,1374,1375,1380],{},[589,1376,1377],{},[592,1378,1379],{},"b",[596,1381,1379],{"encoding":598},[573,1383,1385],{"className":1384,"ariaHidden":604},[603],[573,1386,1388,1392],{"className":1387},[608],[573,1389],{"className":1390,"style":1391},[612],"height:0.6944em;",[573,1393,1379],{"className":1394},[617,618]," und der Hypotenuse ",[573,1397,1399,1413],{"className":1398},[576],[573,1400,1402],{"className":1401},[580],[582,1403,1404],{"xmlns":584},[586,1405,1406,1411],{},[589,1407,1408],{},[592,1409,1410],{},"c",[596,1412,1410],{"encoding":598},[573,1414,1416],{"className":1415,"ariaHidden":604},[603],[573,1417,1419,1422],{"className":1418},[608],[573,1420],{"className":1421,"style":613},[612],[573,1423,1410],{"className":1424},[617,618]," ist ",[573,1427,1429,1456],{"className":1428},[576],[573,1430,1432],{"className":1431},[580],[582,1433,1434],{"xmlns":584},[586,1435,1436,1453],{},[589,1437,1438,1440,1442,1444,1446],{},[592,1439,672],{},[674,1441,676],{},[592,1443,594],{},[674,1445,862],{},[1447,1448,1449,1451],"mfrac",{},[592,1450,1349],{},[592,1452,1410],{},[596,1454,1455],{"encoding":598},"\\sin \\alpha = \\frac{a}{c}",[573,1457,1459,1484],{"className":1458,"ariaHidden":604},[603],[573,1460,1462,1466,1469,1472,1475,1478,1481],{"className":1461},[608],[573,1463],{"className":1464,"style":1465},[612],"height:0.6679em;",[573,1467,672],{"className":1468},[698],[573,1470],{"className":1471,"style":740},[739],[573,1473,594],{"className":1474,"style":619},[617,618],[573,1476],{"className":1477,"style":940},[739],[573,1479,862],{"className":1480},[944],[573,1482],{"className":1483,"style":940},[739],[573,1485,1487,1491],{"className":1486},[608],[573,1488],{"className":1489,"style":1490},[612],"height:1.0404em;vertical-align:-0.345em;",[573,1492,1494,1498,1565],{"className":1493},[617],[573,1495],{"className":1496},[790,1497],"nulldelimiter",[573,1499,1501],{"className":1500},[1447],[573,1502,1504,1556],{"className":1503},[709,962],[573,1505,1507,1553],{"className":1506},[713],[573,1508,1511,1527,1538],{"className":1509,"style":1510},[717],"height:0.6954em;",[573,1512,1514,1518],{"style":1513},"top:-2.655em;",[573,1515],{"className":1516,"style":1517},[724],"height:3em;",[573,1519,1521],{"className":1520},[729,730,731,732],[573,1522,1524],{"className":1523},[617,732],[573,1525,1410],{"className":1526},[617,618,732],[573,1528,1530,1533],{"style":1529},"top:-3.23em;",[573,1531],{"className":1532,"style":1517},[724],[573,1534],{"className":1535,"style":1537},[1536],"frac-line","border-bottom-width:0.04em;",[573,1539,1541,1544],{"style":1540},"top:-3.394em;",[573,1542],{"className":1543,"style":1517},[724],[573,1545,1547],{"className":1546},[729,730,731,732],[573,1548,1550],{"className":1549},[617,732],[573,1551,1349],{"className":1552},[617,618,732],[573,1554,1059],{"className":1555},[1058],[573,1557,1559],{"className":1558},[713],[573,1560,1563],{"className":1561,"style":1562},[717],"height:0.345em;",[573,1564],{},[573,1566],{"className":1567},[803,1497],[573,1569,1571,1597],{"className":1570},[576],[573,1572,1574],{"className":1573},[580],[582,1575,1576],{"xmlns":584},[586,1577,1578,1594],{},[589,1579,1580,1582,1584,1586,1588],{},[592,1581,855],{},[674,1583,676],{},[592,1585,594],{},[674,1587,862],{},[1447,1589,1590,1592],{},[592,1591,1379],{},[592,1593,1410],{},[596,1595,1596],{"encoding":598},"\\cos \\alpha = \\frac{b}{c}",[573,1598,1600,1624],{"className":1599,"ariaHidden":604},[603],[573,1601,1603,1606,1609,1612,1615,1618,1621],{"className":1602},[608],[573,1604],{"className":1605,"style":613},[612],[573,1607,855],{"className":1608},[698],[573,1610],{"className":1611,"style":740},[739],[573,1613,594],{"className":1614,"style":619},[617,618],[573,1616],{"className":1617,"style":940},[739],[573,1619,862],{"className":1620},[944],[573,1622],{"className":1623,"style":940},[739],[573,1625,1627,1631],{"className":1626},[608],[573,1628],{"className":1629,"style":1630},[612],"height:1.2251em;vertical-align:-0.345em;",[573,1632,1634,1637,1697],{"className":1633},[617],[573,1635],{"className":1636},[790,1497],[573,1638,1640],{"className":1639},[1447],[573,1641,1643,1689],{"className":1642},[709,962],[573,1644,1646,1686],{"className":1645},[713],[573,1647,1650,1664,1672],{"className":1648,"style":1649},[717],"height:0.8801em;",[573,1651,1652,1655],{"style":1513},[573,1653],{"className":1654,"style":1517},[724],[573,1656,1658],{"className":1657},[729,730,731,732],[573,1659,1661],{"className":1660},[617,732],[573,1662,1410],{"className":1663},[617,618,732],[573,1665,1666,1669],{"style":1529},[573,1667],{"className":1668,"style":1517},[724],[573,1670],{"className":1671,"style":1537},[1536],[573,1673,1674,1677],{"style":1540},[573,1675],{"className":1676,"style":1517},[724],[573,1678,1680],{"className":1679},[729,730,731,732],[573,1681,1683],{"className":1682},[617,732],[573,1684,1379],{"className":1685},[617,618,732],[573,1687,1059],{"className":1688},[1058],[573,1690,1692],{"className":1691},[713],[573,1693,1695],{"className":1694,"style":1562},[717],[573,1696],{},[573,1698],{"className":1699},[803,1497],". Mit dem Satz des Pythagoras ",[573,1702,1704,1739],{"className":1703},[576],[573,1705,1707],{"className":1706},[580],[582,1708,1709],{"xmlns":584},[586,1710,1711,1736],{},[589,1712,1713,1719,1722,1728,1730],{},[666,1714,1715,1717],{},[592,1716,1349],{},[634,1718,679],{},[674,1720,1721],{},"+",[666,1723,1724,1726],{},[592,1725,1379],{},[634,1727,679],{},[674,1729,862],{},[666,1731,1732,1734],{},[592,1733,1410],{},[634,1735,679],{},[596,1737,1738],{"encoding":598},"a^2 + b^2 = c^2",[573,1740,1742,1787,1831],{"className":1741,"ariaHidden":604},[603],[573,1743,1745,1749,1778,1781,1784],{"className":1744},[608],[573,1746],{"className":1747,"style":1748},[612],"height:0.8974em;vertical-align:-0.0833em;",[573,1750,1752,1755],{"className":1751},[617],[573,1753,1349],{"className":1754},[617,618],[573,1756,1758],{"className":1757},[705],[573,1759,1761],{"className":1760},[709],[573,1762,1764],{"className":1763},[713],[573,1765,1767],{"className":1766,"style":819},[717],[573,1768,1769,1772],{"style":822},[573,1770],{"className":1771,"style":725},[724],[573,1773,1775],{"className":1774},[729,730,731,732],[573,1776,679],{"className":1777},[617,732],[573,1779],{"className":1780,"style":989},[739],[573,1782,1721],{"className":1783},[993],[573,1785],{"className":1786,"style":989},[739],[573,1788,1790,1793,1822,1825,1828],{"className":1789},[608],[573,1791],{"className":1792,"style":819},[612],[573,1794,1796,1799],{"className":1795},[617],[573,1797,1379],{"className":1798},[617,618],[573,1800,1802],{"className":1801},[705],[573,1803,1805],{"className":1804},[709],[573,1806,1808],{"className":1807},[713],[573,1809,1811],{"className":1810,"style":819},[717],[573,1812,1813,1816],{"style":822},[573,1814],{"className":1815,"style":725},[724],[573,1817,1819],{"className":1818},[729,730,731,732],[573,1820,679],{"className":1821},[617,732],[573,1823],{"className":1824,"style":940},[739],[573,1826,862],{"className":1827},[944],[573,1829],{"className":1830,"style":940},[739],[573,1832,1834,1837],{"className":1833},[608],[573,1835],{"className":1836,"style":819},[612],[573,1838,1840,1843],{"className":1839},[617],[573,1841,1410],{"className":1842},[617,618],[573,1844,1846],{"className":1845},[705],[573,1847,1849],{"className":1848},[709],[573,1850,1852],{"className":1851},[713],[573,1853,1855],{"className":1854,"style":819},[717],[573,1856,1857,1860],{"style":822},[573,1858],{"className":1859,"style":725},[724],[573,1861,1863],{"className":1862},[729,730,731,732],[573,1864,679],{"className":1865},[617,732]," folgt:",[573,1868,1870],{"className":1869},[839],[573,1871,1873,1989],{"className":1872},[576],[573,1874,1876],{"className":1875},[580],[582,1877,1878],{"xmlns":584,"display":848},[586,1879,1880,1986],{},[589,1881,1882,1892,1894,1896,1906,1908,1910,1924,1926,1940,1942,1966,1968,1982,1984],{},[666,1883,1884,1890],{},[589,1885,1886,1888],{},[592,1887,672],{},[674,1889,676],{},[634,1891,679],{},[592,1893,594],{},[674,1895,1721],{},[666,1897,1898,1904],{},[589,1899,1900,1902],{},[592,1901,855],{},[674,1903,676],{},[634,1905,679],{},[592,1907,594],{},[674,1909,862],{},[1447,1911,1912,1918],{},[666,1913,1914,1916],{},[592,1915,1349],{},[634,1917,679],{},[666,1919,1920,1922],{},[592,1921,1410],{},[634,1923,679],{},[674,1925,1721],{},[1447,1927,1928,1934],{},[666,1929,1930,1932],{},[592,1931,1379],{},[634,1933,679],{},[666,1935,1936,1938],{},[592,1937,1410],{},[634,1939,679],{},[674,1941,862],{},[1447,1943,1944,1960],{},[589,1945,1946,1952,1954],{},[666,1947,1948,1950],{},[592,1949,1349],{},[634,1951,679],{},[674,1953,1721],{},[666,1955,1956,1958],{},[592,1957,1379],{},[634,1959,679],{},[666,1961,1962,1964],{},[592,1963,1410],{},[634,1965,679],{},[674,1967,862],{},[1447,1969,1970,1976],{},[666,1971,1972,1974],{},[592,1973,1410],{},[634,1975,679],{},[666,1977,1978,1980],{},[592,1979,1410],{},[634,1981,679],{},[674,1983,862],{},[634,1985,636],{},[596,1987,1988],{"encoding":598},"\\sin^2 \\alpha + \\cos^2 \\alpha = \\frac{a^2}{c^2} + \\frac{b^2}{c^2} = \\frac{a^2 + b^2}{c^2} = \\frac{c^2}{c^2} = 1",[573,1990,1992,2043,2095,2229,2358,2525,2654],{"className":1991,"ariaHidden":604},[603],[573,1993,1995,1999,2028,2031,2034,2037,2040],{"className":1994},[608],[573,1996],{"className":1997,"style":1998},[612],"height:0.9552em;vertical-align:-0.0833em;",[573,2000,2002,2005],{"className":2001},[698],[573,2003,672],{"className":2004},[698],[573,2006,2008],{"className":2007},[705],[573,2009,2011],{"className":2010},[709],[573,2012,2014],{"className":2013},[713],[573,2015,2017],{"className":2016,"style":694},[717],[573,2018,2019,2022],{"style":720},[573,2020],{"className":2021,"style":725},[724],[573,2023,2025],{"className":2024},[729,730,731,732],[573,2026,679],{"className":2027},[617,732],[573,2029],{"className":2030,"style":740},[739],[573,2032,594],{"className":2033,"style":619},[617,618],[573,2035],{"className":2036,"style":989},[739],[573,2038,1721],{"className":2039},[993],[573,2041],{"className":2042,"style":989},[739],[573,2044,2046,2050,2080,2083,2086,2089,2092],{"className":2045},[608],[573,2047],{"className":2048,"style":2049},[612],"height:0.8641em;",[573,2051,2053,2056],{"className":2052},[698],[573,2054,855],{"className":2055},[698],[573,2057,2059],{"className":2058},[705],[573,2060,2062],{"className":2061},[709],[573,2063,2065],{"className":2064},[713],[573,2066,2068],{"className":2067,"style":2049},[717],[573,2069,2071,2074],{"style":2070},"top:-3.113em;margin-right:0.05em;",[573,2072],{"className":2073,"style":725},[724],[573,2075,2077],{"className":2076},[729,730,731,732],[573,2078,679],{"className":2079},[617,732],[573,2081],{"className":2082,"style":740},[739],[573,2084,594],{"className":2085,"style":619},[617,618],[573,2087],{"className":2088,"style":940},[739],[573,2090,862],{"className":2091},[944],[573,2093],{"className":2094,"style":940},[739],[573,2096,2098,2102,2220,2223,2226],{"className":2097},[608],[573,2099],{"className":2100,"style":2101},[612],"height:2.1771em;vertical-align:-0.686em;",[573,2103,2105,2108,2217],{"className":2104},[617],[573,2106],{"className":2107},[790,1497],[573,2109,2111],{"className":2110},[1447],[573,2112,2114,2208],{"className":2113},[709,962],[573,2115,2117,2205],{"className":2116},[713],[573,2118,2121,2159,2167],{"className":2119,"style":2120},[717],"height:1.4911em;",[573,2122,2124,2127],{"style":2123},"top:-2.314em;",[573,2125],{"className":2126,"style":1517},[724],[573,2128,2130],{"className":2129},[617],[573,2131,2133,2136],{"className":2132},[617],[573,2134,1410],{"className":2135},[617,618],[573,2137,2139],{"className":2138},[705],[573,2140,2142],{"className":2141},[709],[573,2143,2145],{"className":2144},[713],[573,2146,2148],{"className":2147,"style":1153},[717],[573,2149,2150,2153],{"style":1156},[573,2151],{"className":2152,"style":725},[724],[573,2154,2156],{"className":2155},[729,730,731,732],[573,2157,679],{"className":2158},[617,732],[573,2160,2161,2164],{"style":1529},[573,2162],{"className":2163,"style":1517},[724],[573,2165],{"className":2166,"style":1537},[1536],[573,2168,2170,2173],{"style":2169},"top:-3.677em;",[573,2171],{"className":2172,"style":1517},[724],[573,2174,2176],{"className":2175},[617],[573,2177,2179,2182],{"className":2178},[617],[573,2180,1349],{"className":2181},[617,618],[573,2183,2185],{"className":2184},[705],[573,2186,2188],{"className":2187},[709],[573,2189,2191],{"className":2190},[713],[573,2192,2194],{"className":2193,"style":819},[717],[573,2195,2196,2199],{"style":822},[573,2197],{"className":2198,"style":725},[724],[573,2200,2202],{"className":2201},[729,730,731,732],[573,2203,679],{"className":2204},[617,732],[573,2206,1059],{"className":2207},[1058],[573,2209,2211],{"className":2210},[713],[573,2212,2215],{"className":2213,"style":2214},[717],"height:0.686em;",[573,2216],{},[573,2218],{"className":2219},[803,1497],[573,2221],{"className":2222,"style":989},[739],[573,2224,1721],{"className":2225},[993],[573,2227],{"className":2228,"style":989},[739],[573,2230,2232,2235,2349,2352,2355],{"className":2231},[608],[573,2233],{"className":2234,"style":2101},[612],[573,2236,2238,2241,2346],{"className":2237},[617],[573,2239],{"className":2240},[790,1497],[573,2242,2244],{"className":2243},[1447],[573,2245,2247,2338],{"className":2246},[709,962],[573,2248,2250,2335],{"className":2249},[713],[573,2251,2253,2290,2298],{"className":2252,"style":2120},[717],[573,2254,2255,2258],{"style":2123},[573,2256],{"className":2257,"style":1517},[724],[573,2259,2261],{"className":2260},[617],[573,2262,2264,2267],{"className":2263},[617],[573,2265,1410],{"className":2266},[617,618],[573,2268,2270],{"className":2269},[705],[573,2271,2273],{"className":2272},[709],[573,2274,2276],{"className":2275},[713],[573,2277,2279],{"className":2278,"style":1153},[717],[573,2280,2281,2284],{"style":1156},[573,2282],{"className":2283,"style":725},[724],[573,2285,2287],{"className":2286},[729,730,731,732],[573,2288,679],{"className":2289},[617,732],[573,2291,2292,2295],{"style":1529},[573,2293],{"className":2294,"style":1517},[724],[573,2296],{"className":2297,"style":1537},[1536],[573,2299,2300,2303],{"style":2169},[573,2301],{"className":2302,"style":1517},[724],[573,2304,2306],{"className":2305},[617],[573,2307,2309,2312],{"className":2308},[617],[573,2310,1379],{"className":2311},[617,618],[573,2313,2315],{"className":2314},[705],[573,2316,2318],{"className":2317},[709],[573,2319,2321],{"className":2320},[713],[573,2322,2324],{"className":2323,"style":819},[717],[573,2325,2326,2329],{"style":822},[573,2327],{"className":2328,"style":725},[724],[573,2330,2332],{"className":2331},[729,730,731,732],[573,2333,679],{"className":2334},[617,732],[573,2336,1059],{"className":2337},[1058],[573,2339,2341],{"className":2340},[713],[573,2342,2344],{"className":2343,"style":2214},[717],[573,2345],{},[573,2347],{"className":2348},[803,1497],[573,2350],{"className":2351,"style":940},[739],[573,2353,862],{"className":2354},[944],[573,2356],{"className":2357,"style":940},[739],[573,2359,2361,2364,2516,2519,2522],{"className":2360},[608],[573,2362],{"className":2363,"style":2101},[612],[573,2365,2367,2370,2513],{"className":2366},[617],[573,2368],{"className":2369},[790,1497],[573,2371,2373],{"className":2372},[1447],[573,2374,2376,2505],{"className":2375},[709,962],[573,2377,2379,2502],{"className":2378},[713],[573,2380,2382,2419,2427],{"className":2381,"style":2120},[717],[573,2383,2384,2387],{"style":2123},[573,2385],{"className":2386,"style":1517},[724],[573,2388,2390],{"className":2389},[617],[573,2391,2393,2396],{"className":2392},[617],[573,2394,1410],{"className":2395},[617,618],[573,2397,2399],{"className":2398},[705],[573,2400,2402],{"className":2401},[709],[573,2403,2405],{"className":2404},[713],[573,2406,2408],{"className":2407,"style":1153},[717],[573,2409,2410,2413],{"style":1156},[573,2411],{"className":2412,"style":725},[724],[573,2414,2416],{"className":2415},[729,730,731,732],[573,2417,679],{"className":2418},[617,732],[573,2420,2421,2424],{"style":1529},[573,2422],{"className":2423,"style":1517},[724],[573,2425],{"className":2426,"style":1537},[1536],[573,2428,2429,2432],{"style":2169},[573,2430],{"className":2431,"style":1517},[724],[573,2433,2435,2464,2467,2470,2473],{"className":2434},[617],[573,2436,2438,2441],{"className":2437},[617],[573,2439,1349],{"className":2440},[617,618],[573,2442,2444],{"className":2443},[705],[573,2445,2447],{"className":2446},[709],[573,2448,2450],{"className":2449},[713],[573,2451,2453],{"className":2452,"style":819},[717],[573,2454,2455,2458],{"style":822},[573,2456],{"className":2457,"style":725},[724],[573,2459,2461],{"className":2460},[729,730,731,732],[573,2462,679],{"className":2463},[617,732],[573,2465],{"className":2466,"style":989},[739],[573,2468,1721],{"className":2469},[993],[573,2471],{"className":2472,"style":989},[739],[573,2474,2476,2479],{"className":2475},[617],[573,2477,1379],{"className":2478},[617,618],[573,2480,2482],{"className":2481},[705],[573,2483,2485],{"className":2484},[709],[573,2486,2488],{"className":2487},[713],[573,2489,2491],{"className":2490,"style":819},[717],[573,2492,2493,2496],{"style":822},[573,2494],{"className":2495,"style":725},[724],[573,2497,2499],{"className":2498},[729,730,731,732],[573,2500,679],{"className":2501},[617,732],[573,2503,1059],{"className":2504},[1058],[573,2506,2508],{"className":2507},[713],[573,2509,2511],{"className":2510,"style":2214},[717],[573,2512],{},[573,2514],{"className":2515},[803,1497],[573,2517],{"className":2518,"style":940},[739],[573,2520,862],{"className":2521},[944],[573,2523],{"className":2524,"style":940},[739],[573,2526,2528,2531,2645,2648,2651],{"className":2527},[608],[573,2529],{"className":2530,"style":2101},[612],[573,2532,2534,2537,2642],{"className":2533},[617],[573,2535],{"className":2536},[790,1497],[573,2538,2540],{"className":2539},[1447],[573,2541,2543,2634],{"className":2542},[709,962],[573,2544,2546,2631],{"className":2545},[713],[573,2547,2549,2586,2594],{"className":2548,"style":2120},[717],[573,2550,2551,2554],{"style":2123},[573,2552],{"className":2553,"style":1517},[724],[573,2555,2557],{"className":2556},[617],[573,2558,2560,2563],{"className":2559},[617],[573,2561,1410],{"className":2562},[617,618],[573,2564,2566],{"className":2565},[705],[573,2567,2569],{"className":2568},[709],[573,2570,2572],{"className":2571},[713],[573,2573,2575],{"className":2574,"style":1153},[717],[573,2576,2577,2580],{"style":1156},[573,2578],{"className":2579,"style":725},[724],[573,2581,2583],{"className":2582},[729,730,731,732],[573,2584,679],{"className":2585},[617,732],[573,2587,2588,2591],{"style":1529},[573,2589],{"className":2590,"style":1517},[724],[573,2592],{"className":2593,"style":1537},[1536],[573,2595,2596,2599],{"style":2169},[573,2597],{"className":2598,"style":1517},[724],[573,2600,2602],{"className":2601},[617],[573,2603,2605,2608],{"className":2604},[617],[573,2606,1410],{"className":2607},[617,618],[573,2609,2611],{"className":2610},[705],[573,2612,2614],{"className":2613},[709],[573,2615,2617],{"className":2616},[713],[573,2618,2620],{"className":2619,"style":819},[717],[573,2621,2622,2625],{"style":822},[573,2623],{"className":2624,"style":725},[724],[573,2626,2628],{"className":2627},[729,730,731,732],[573,2629,679],{"className":2630},[617,732],[573,2632,1059],{"className":2633},[1058],[573,2635,2637],{"className":2636},[713],[573,2638,2640],{"className":2639,"style":2214},[717],[573,2641],{},[573,2643],{"className":2644},[803,1497],[573,2646],{"className":2647,"style":940},[739],[573,2649,862],{"className":2650},[944],[573,2652],{"className":2653,"style":940},[739],[573,2655,2657,2660],{"className":2656},[608],[573,2658],{"className":2659,"style":648},[612],[573,2661,636],{"className":2662},[617],[564,2664,2665,2666,2669,2670,2753,2754,2782],{},"Am ",[568,2667,2668],{},"Einheitskreis"," sieht man, dass die Formel für alle Winkel gilt: Der Punkt ",[573,2671,2673,2704],{"className":2672},[576],[573,2674,2676],{"className":2675},[580],[582,2677,2678],{"xmlns":584},[586,2679,2680,2701],{},[589,2681,2682,2684,2686,2688,2690,2693,2695,2697,2699],{},[674,2683,760],{"stretchy":759},[592,2685,855],{},[674,2687,676],{},[592,2689,594],{},[674,2691,2692],{},"∣",[592,2694,672],{},[674,2696,676],{},[592,2698,594],{},[674,2700,771],{"stretchy":759},[596,2702,2703],{"encoding":598},"(\\cos \\alpha \\mid \\sin \\alpha)",[573,2705,2707,2735],{"className":2706,"ariaHidden":604},[603],[573,2708,2710,2714,2717,2720,2723,2726,2729,2732],{"className":2709},[608],[573,2711],{"className":2712,"style":2713},[612],"height:1em;vertical-align:-0.25em;",[573,2715,760],{"className":2716},[790],[573,2718,855],{"className":2719},[698],[573,2721],{"className":2722,"style":740},[739],[573,2724,594],{"className":2725,"style":619},[617,618],[573,2727],{"className":2728,"style":940},[739],[573,2730,2692],{"className":2731},[944],[573,2733],{"className":2734,"style":940},[739],[573,2736,2738,2741,2744,2747,2750],{"className":2737},[608],[573,2739],{"className":2740,"style":2713},[612],[573,2742,672],{"className":2743},[698],[573,2745],{"className":2746,"style":740},[739],[573,2748,594],{"className":2749,"style":619},[617,618],[573,2751,771],{"className":2752},[803]," hat immer den Abstand ",[573,2755,2757,2770],{"className":2756},[576],[573,2758,2760],{"className":2759},[580],[582,2761,2762],{"xmlns":584},[586,2763,2764,2768],{},[589,2765,2766],{},[634,2767,636],{},[596,2769,636],{"encoding":598},[573,2771,2773],{"className":2772,"ariaHidden":604},[603],[573,2774,2776,2779],{"className":2775},[608],[573,2777],{"className":2778,"style":648},[612],[573,2780,636],{"className":2781},[617]," vom Ursprung.",[559,2784,2786],{"id":2785},"beispiele","Beispiele",[564,2788,2789,2790,2865],{},"Für einen spitzen Winkel ist ",[573,2791,2793,2816],{"className":2792},[576],[573,2794,2796],{"className":2795},[580],[582,2797,2798],{"xmlns":584},[586,2799,2800,2813],{},[589,2801,2802,2804,2806,2808,2810],{},[592,2803,672],{},[674,2805,676],{},[592,2807,594],{},[674,2809,862],{},[634,2811,2812],{},"0,6",[596,2814,2815],{"encoding":598},"\\sin \\alpha = 0{,}6",[573,2817,2819,2843],{"className":2818,"ariaHidden":604},[603],[573,2820,2822,2825,2828,2831,2834,2837,2840],{"className":2821},[608],[573,2823],{"className":2824,"style":1465},[612],[573,2826,672],{"className":2827},[698],[573,2829],{"className":2830,"style":740},[739],[573,2832,594],{"className":2833,"style":619},[617,618],[573,2835],{"className":2836,"style":940},[739],[573,2838,862],{"className":2839},[944],[573,2841],{"className":2842,"style":940},[739],[573,2844,2846,2850,2853,2861],{"className":2845},[608],[573,2847],{"className":2848,"style":2849},[612],"height:0.8389em;vertical-align:-0.1944em;",[573,2851,1216],{"className":2852},[617],[573,2854,2856],{"className":2855},[617],[573,2857,2860],{"className":2858},[2859],"mpunct",",",[573,2862,2864],{"className":2863},[617],"6",". Dann gilt:",[573,2867,2869],{"className":2868},[839],[573,2870,2872,2931],{"className":2871},[576],[573,2873,2875],{"className":2874},[580],[582,2876,2877],{"xmlns":584,"display":848},[586,2878,2879,2928],{},[589,2880,2881,2883,2885,2887,2889,2903,2905,2916,2918,2923,2925],{},[592,2882,855],{},[674,2884,676],{},[592,2886,594],{},[674,2888,862],{},[864,2890,2891],{},[589,2892,2893,2895,2897],{},[634,2894,636],{},[674,2896,872],{},[666,2898,2899,2901],{},[634,2900,2812],{},[634,2902,679],{},[674,2904,862],{},[864,2906,2907],{},[589,2908,2909,2911,2913],{},[634,2910,636],{},[674,2912,872],{},[634,2914,2915],{},"0,36",[674,2917,862],{},[864,2919,2920],{},[634,2921,2922],{},"0,64",[674,2924,862],{},[634,2926,2927],{},"0,8",[596,2929,2930],{"encoding":598},"\\cos \\alpha = \\sqrt{1 - 0{,}6^2} = \\sqrt{1 - 0{,}36} = \\sqrt{0{,}64} = 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