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der Sinus liegt auch ",[574,1072,1074,1092],{"className":1073},[577],[574,1075,1077],{"className":1076},[581],[583,1078,1079],{"xmlns":585},[587,1080,1081,1089],{},[590,1082,1083,1085,1087],{},[593,1084,792],{},[682,1086,795],{},[593,1088,595],{},[597,1090,1091],{"encoding":599},"\\cos \\alpha",[574,1093,1095],{"className":1094,"ariaHidden":605},[604],[574,1096,1098,1101,1104,1107],{"className":1097},[609],[574,1099],{"className":1100,"style":614},[613],[574,1102,792],{"className":1103},[824],[574,1105],{"className":1106,"style":828},[715],[574,1108,595],{"className":1109,"style":620},[618,619]," zwischen 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Umgestellt:",[574,1171,1174],{"className":1172},[1173],"katex-display",[574,1175,1177,1225],{"className":1176},[577],[574,1178,1180],{"className":1179},[581],[583,1181,1183],{"xmlns":585,"display":1182},"block",[587,1184,1185,1222],{},[590,1186,1187,1190,1192,1194,1197,1199,1201,1203,1206,1208,1210],{},[1188,1189,628],"mtext",{},[682,1191,684],{},[1188,1193,632],{},[682,1195,1196],{},"⋅",[593,1198,792],{},[682,1200,795],{},[593,1202,595],{},[715,1204],{"width":1205},"2em",[1188,1207,632],{},[682,1209,684],{},[801,1211,1212,1214],{},[1188,1213,628],{},[590,1215,1216,1218,1220],{},[593,1217,792],{},[682,1219,795],{},[593,1221,595],{},[597,1223,1224],{"encoding":599},"\\text{Ankathete} = \\text{Hypotenuse} \\cdot \\cos \\alpha\n\\qquad\n\\text{Hypotenuse} = \\frac{\\text{Ankathete}}{\\cos \\alpha}",[574,1226,1228,1251,1274,1308],{"className":1227,"ariaHidden":605},[604],[574,1229,1231,1235,1242,1245,1248],{"className":1230},[609],[574,1232],{"className":1233,"style":1234},[613],"height:0.6944em;",[574,1236,1239],{"className":1237},[618,1238],"text",[574,1240,628],{"className":1241},[618],[574,1243],{"className":1244,"style":716},[715],[574,1246,684],{"className":1247},[720],[574,1249],{"className":1250,"style":716},[715],[574,1252,1254,1258,1264,1268,1271],{"className":1253},[609],[574,1255],{"className":1256,"style":1257},[613],"height:0.8778em;vertical-align:-0.1944em;",[574,1259,1261],{"className":1260},[618,1238],[574,1262,632],{"className":1263},[618],[574,1265],{"className":1266,"style":1267},[715],"margin-right:0.2222em;",[574,1269,1196],{"className":1270},[776],[574,1272],{"className":1273,"style":1267},[715],[574,1275,1277,1280,1283,1286,1289,1293,1299,1302,1305],{"className":1276},[609],[574,1278],{"className":1279,"style":1257},[613],[574,1281,792],{"className":1282},[824],[574,1284],{"className":1285,"style":828},[715],[574,1287,595],{"className":1288,"style":620},[618,619],[574,1290],{"className":1291,"style":1292},[715],"margin-right:2em;",[574,1294,1296],{"className":1295},[618,1238],[574,1297,632],{"className":1298},[618],[574,1300],{"className":1301,"style":716},[715],[574,1303,684],{"className":1304},[720],[574,1306],{"className":1307,"style":716},[715],[574,1309,1311,1315],{"className":1310},[609],[574,1312],{"className":1313,"style":1314},[613],"height:2.0574em;vertical-align:-0.686em;",[574,1316,1318,1321,1387],{"className":1317},[618],[574,1319],{"className":1320},[854,855],[574,1322,1324],{"className":1323},[801],[574,1325,1327,1378],{"className":1326},[749,862],[574,1328,1330,1375],{"className":1329},[753],[574,1331,1334,1352,1360],{"className":1332,"style":1333},[757],"height:1.3714em;",[574,1335,1337,1340],{"style":1336},"top:-2.314em;",[574,1338],{"className":1339,"style":876},[764],[574,1341,1343,1346,1349],{"className":1342},[618],[574,1344,792],{"className":1345},[824],[574,1347],{"className":1348,"style":828},[715],[574,1350,595],{"className":1351,"style":620},[618,619],[574,1353,1354,1357],{"style":888},[574,1355],{"className":1356,"style":876},[764],[574,1358],{"className":1359,"style":896},[895],[574,1361,1363,1366],{"style":1362},"top:-3.677em;",[574,1364],{"className":1365,"style":876},[764],[574,1367,1369],{"className":1368},[618],[574,1370,1372],{"className":1371},[618,1238],[574,1373,628],{"className":1374},[618],[574,1376,916],{"className":1377},[915],[574,1379,1381],{"className":1380},[753],[574,1382,1385],{"className":1383,"style":1384},[757],"height:0.686em;",[574,1386],{},[574,1388],{"className":1389},[929,855],[565,1391,1392,1393,1468],{},"Den Winkel erhält man mit ",[574,1394,1396,1423],{"className":1395},[577],[574,1397,1399],{"className":1398},[581],[583,1400,1401],{"xmlns":585},[587,1402,1403,1420],{},[590,1404,1405],{},[686,1406,1407,1413],{},[590,1408,1409,1411],{},[593,1410,792],{},[682,1412,795],{},[590,1414,1415,1418],{},[682,1416,1417],{},"−",[689,1419,1154],{},[597,1421,1422],{"encoding":599},"\\cos^{-1}",[574,1424,1426],{"className":1425,"ariaHidden":605},[604],[574,1427,1429,1433],{"className":1428},[609],[574,1430],{"className":1431,"style":1432},[613],"height:0.8141em;",[574,1434,1436,1439],{"className":1435},[824],[574,1437,792],{"className":1438},[824],[574,1440,1442],{"className":1441},[745],[574,1443,1445],{"className":1444},[749],[574,1446,1448],{"className":1447},[753],[574,1449,1451],{"className":1450,"style":1432},[757],[574,1452,1453,1456],{"style":760},[574,1454],{"className":1455,"style":765},[764],[574,1457,1459],{"className":1458},[769,770,771,772],[574,1460,1462,1465],{"className":1461},[618,772],[574,1463,1417],{"className":1464},[618,772],[574,1466,1154],{"className":1467},[618,772]," auf dem Taschenrechner.",[560,1470,1472],{"id":1471},"beispiele","Beispiele",[565,1474,1475,1476,1521,1522,930,1565,1608,1609,1637,1638,1679],{},"Im rechtwinkligen Dreieck mit den Seiten ",[574,1477,1479,1500],{"className":1478},[577],[574,1480,1482],{"className":1481},[581],[583,1483,1484],{"xmlns":585},[587,1485,1486,1497],{},[590,1487,1488,1491,1494],{},[689,1489,1490],{},"3",[1188,1492,1493],{}," ",[1188,1495,1496],{},"cm",[597,1498,1499],{"encoding":599},"3\\,\\text{cm}",[574,1501,1503],{"className":1502,"ariaHidden":605},[604],[574,1504,1506,1509,1512,1515],{"className":1505},[609],[574,1507],{"className":1508,"style":1136},[613],[574,1510,1490],{"className":1511},[618],[574,1513],{"className":1514,"style":828},[715],[574,1516,1518],{"className":1517},[618,1238],[574,1519,1496],{"className":1520},[618],", ",[574,1523,1525,1544],{"className":1524},[577],[574,1526,1528],{"className":1527},[581],[583,1529,1530],{"xmlns":585},[587,1531,1532,1541],{},[590,1533,1534,1537,1539],{},[689,1535,1536],{},"4",[1188,1538,1493],{},[1188,1540,1496],{},[597,1542,1543],{"encoding":599},"4\\,\\text{cm}",[574,1545,1547],{"className":1546,"ariaHidden":605},[604],[574,1548,1550,1553,1556,1559],{"className":1549},[609],[574,1551],{"className":1552,"style":1136},[613],[574,1554,1536],{"className":1555},[618],[574,1557],{"className":1558,"style":828},[715],[574,1560,1562],{"className":1561},[618,1238],[574,1563,1496],{"className":1564},[618],[574,1566,1568,1587],{"className":1567},[577],[574,1569,1571],{"className":1570},[581],[583,1572,1573],{"xmlns":585},[587,1574,1575,1584],{},[590,1576,1577,1580,1582],{},[689,1578,1579],{},"5",[1188,1581,1493],{},[1188,1583,1496],{},[597,1585,1586],{"encoding":599},"5\\,\\text{cm}",[574,1588,1590],{"className":1589,"ariaHidden":605},[604],[574,1591,1593,1596,1599,1602],{"className":1592},[609],[574,1594],{"className":1595,"style":1136},[613],[574,1597,1579],{"className":1598},[618],[574,1600],{"className":1601,"style":828},[715],[574,1603,1605],{"className":1604},[618,1238],[574,1606,1496],{"className":1607},[618]," liegt am Winkel ",[574,1610,1612,1625],{"className":1611},[577],[574,1613,1615],{"className":1614},[581],[583,1616,1617],{"xmlns":585},[587,1618,1619,1623],{},[590,1620,1621],{},[593,1622,595],{},[597,1624,600],{"encoding":599},[574,1626,1628],{"className":1627,"ariaHidden":605},[604],[574,1629,1631,1634],{"className":1630},[609],[574,1632],{"className":1633,"style":614},[613],[574,1635,595],{"className":1636,"style":620},[618,619]," die Kathete ",[574,1639,1641,1658],{"className":1640},[577],[574,1642,1644],{"className":1643},[581],[583,1645,1646],{"xmlns":585},[587,1647,1648,1656],{},[590,1649,1650,1652,1654],{},[689,1651,1536],{},[1188,1653,1493],{},[1188,1655,1496],{},[597,1657,1543],{"encoding":599},[574,1659,1661],{"className":1660,"ariaHidden":605},[604],[574,1662,1664,1667,1670,1673],{"className":1663},[609],[574,1665],{"className":1666,"style":1136},[613],[574,1668,1536],{"className":1669},[618],[574,1671],{"className":1672,"style":828},[715],[574,1674,1676],{"className":1675},[618,1238],[574,1677,1496],{"className":1678},[618]," an:",[574,1681,1683],{"className":1682},[1173],[574,1684,1686,1762],{"className":1685},[577],[574,1687,1689],{"className":1688},[581],[583,1690,1691],{"xmlns":585,"display":1182},[587,1692,1693,1759],{},[590,1694,1695,1697,1699,1701,1703,1709,1711,1714,1717,1720,1722,1724,1726,1740,1744,1746,1749,1752],{},[593,1696,792],{},[682,1698,795],{},[593,1700,595],{},[682,1702,684],{},[801,1704,1705,1707],{},[689,1706,1536],{},[689,1708,1579],{},[682,1710,684],{},[689,1712,1713],{},"0,8",[715,1715],{"width":1716},"1em",[682,1718,1719],{},"⇒",[715,1721],{"width":1716},[593,1723,595],{},[682,1725,684],{},[686,1727,1728,1734],{},[590,1729,1730,1732],{},[593,1731,792],{},[682,1733,795],{},[590,1735,1736,1738],{},[682,1737,1417],{},[689,1739,1154],{},[682,1741,1743],{"stretchy":1742},"false","(",[689,1745,1713],{},[682,1747,1748],{"stretchy":1742},")",[682,1750,1751],{},"≈",[686,1753,1754,1757],{},[689,1755,1756],{},"36,87",[682,1758,694],{},[597,1760,1761],{"encoding":599},"\\cos \\alpha = \\frac{4}{5} = 0{,}8\n\\quad\\Rightarrow\\quad\n\\alpha = \\cos^{-1}(0{,}8) \\approx 36{,}87^\\circ",[574,1763,1765,1789,1868,1906,1924,1995],{"className":1764,"ariaHidden":605},[604],[574,1766,1768,1771,1774,1777,1780,1783,1786],{"className":1767},[609],[574,1769],{"className":1770,"style":614},[613],[574,1772,792],{"className":1773},[824],[574,1775],{"className":1776,"style":828},[715],[574,1778,595],{"className":1779,"style":620},[618,619],[574,1781],{"className":1782,"style":716},[715],[574,1784,684],{"className":1785},[720],[574,1787],{"className":1788,"style":716},[715],[574,1790,1792,1796,1859,1862,1865],{"className":1791},[609],[574,1793],{"className":1794,"style":1795},[613],"height:2.0074em;vertical-align:-0.686em;",[574,1797,1799,1802,1856],{"className":1798},[618],[574,1800],{"className":1801},[854,855],[574,1803,1805],{"className":1804},[801],[574,1806,1808,1848],{"className":1807},[749,862],[574,1809,1811,1845],{"className":1810},[753],[574,1812,1815,1826,1834],{"className":1813,"style":1814},[757],"height:1.3214em;",[574,1816,1817,1820],{"style":1336},[574,1818],{"className":1819,"style":876},[764],[574,1821,1823],{"className":1822},[618],[574,1824,1579],{"className":1825},[618],[574,1827,1828,1831],{"style":888},[574,1829],{"className":1830,"style":876},[764],[574,1832],{"className":1833,"style":896},[895],[574,1835,1836,1839],{"style":1362},[574,1837],{"className":1838,"style":876},[764],[574,1840,1842],{"className":1841},[618],[574,1843,1536],{"className":1844},[618],[574,1846,916],{"className":1847},[915],[574,1849,1851],{"className":1850},[753],[574,1852,1854],{"className":1853,"style":1384},[757],[574,1855],{},[574,1857],{"className":1858},[929,855],[574,1860],{"className":1861,"style":716},[715],[574,1863,684],{"className":1864},[720],[574,1866],{"className":1867,"style":716},[715],[574,1869,1871,1875,1878,1886,1890,1894,1897,1900,1903],{"className":1870},[609],[574,1872],{"className":1873,"style":1874},[613],"height:0.8389em;vertical-align:-0.1944em;",[574,1876,741],{"className":1877},[618],[574,1879,1881],{"className":1880},[618],[574,1882,1885],{"className":1883},[1884],"mpunct",",",[574,1887,1889],{"className":1888},[618],"8",[574,1891],{"className":1892,"style":1893},[715],"margin-right:1em;",[574,1895],{"className":1896,"style":716},[715],[574,1898,1719],{"className":1899},[720],[574,1901],{"className":1902,"style":1893},[715],[574,1904],{"className":1905,"style":716},[715],[574,1907,1909,1912,1915,1918,1921],{"className":1908},[609],[574,1910],{"className":1911,"style":614},[613],[574,1913,595],{"className":1914,"style":620},[618,619],[574,1916],{"className":1917,"style":716},[715],[574,1919,684],{"className":1920},[720],[574,1922],{"className":1923,"style":716},[715],[574,1925,1927,1931,1968,1971,1974,1980,1983,1986,1989,1992],{"className":1926},[609],[574,1928],{"className":1929,"style":1930},[613],"height:1.1141em;vertical-align:-0.25em;",[574,1932,1934,1937],{"className":1933},[824],[574,1935,792],{"className":1936},[824],[574,1938,1940],{"className":1939},[745],[574,1941,1943],{"className":1942},[749],[574,1944,1946],{"className":1945},[753],[574,1947,1950],{"className":1948,"style":1949},[757],"height:0.8641em;",[574,1951,1953,1956],{"style":1952},"top:-3.113em;margin-right:0.05em;",[574,1954],{"className":1955,"style":765},[764],[574,1957,1959],{"className":1958},[769,770,771,772],[574,1960,1962,1965],{"className":1961},[618,772],[574,1963,1417],{"className":1964},[618,772],[574,1966,1154],{"className":1967},[618,772],[574,1969,1743],{"className":1970},[854],[574,1972,741],{"className":1973},[618],[574,1975,1977],{"className":1976},[618],[574,1978,1885],{"className":1979},[1884],[574,1981,1889],{"className":1982},[618],[574,1984,1748],{"className":1985},[929],[574,1987],{"className":1988,"style":716},[715],[574,1990,1751],{"className":1991},[720],[574,1993],{"className":1994,"style":716},[715],[574,1996,1998,2002,2006,2012,2015],{"className":1997},[609],[574,1999],{"className":2000,"style":2001},[613],"height:0.9186em;vertical-align:-0.1944em;",[574,2003,2005],{"className":2004},[618],"36",[574,2007,2009],{"className":2008},[618],[574,2010,1885],{"className":2011},[1884],[574,2013,1889],{"className":2014},[618],[574,2016,2018,2022],{"className":2017},[618],[574,2019,2021],{"className":2020},[618],"7",[574,2023,2025],{"className":2024},[745],[574,2026,2028],{"className":2027},[749],[574,2029,2031],{"className":2030},[753],[574,2032,2035],{"className":2033,"style":2034},[757],"height:0.7241em;",[574,2036,2037,2040],{"style":1952},[574,2038],{"className":2039,"style":765},[764],[574,2041,2043],{"className":2042},[769,770,771,772],[574,2044,694],{"className":2045},[776,772],[565,2047,2048,2049,2092,2093,2179],{},"Hypotenuse ",[574,2050,2052,2071],{"className":2051},[577],[574,2053,2055],{"className":2054},[581],[583,2056,2057],{"xmlns":585},[587,2058,2059,2068],{},[590,2060,2061,2064,2066],{},[689,2062,2063],{},"12",[1188,2065,1493],{},[1188,2067,1496],{},[597,2069,2070],{"encoding":599},"12\\,\\text{cm}",[574,2072,2074],{"className":2073,"ariaHidden":605},[604],[574,2075,2077,2080,2083,2086],{"className":2076},[609],[574,2078],{"className":2079,"style":1136},[613],[574,2081,2063],{"className":2082},[618],[574,2084],{"className":2085,"style":828},[715],[574,2087,2089],{"className":2088},[618,1238],[574,2090,1496],{"className":2091},[618],", Winkel ",[574,2094,2096,2119],{"className":2095},[577],[574,2097,2099],{"className":2098},[581],[583,2100,2101],{"xmlns":585},[587,2102,2103,2116],{},[590,2104,2105,2107,2109],{},[593,2106,595],{},[682,2108,684],{},[686,2110,2111,2114],{},[689,2112,2113],{},"60",[682,2115,694],{},[597,2117,2118],{"encoding":599},"\\alpha = 60^\\circ",[574,2120,2122,2140],{"className":2121,"ariaHidden":605},[604],[574,2123,2125,2128,2131,2134,2137],{"className":2124},[609],[574,2126],{"className":2127,"style":614},[613],[574,2129,595],{"className":2130,"style":620},[618,619],[574,2132],{"className":2133,"style":716},[715],[574,2135,684],{"className":2136},[720],[574,2138],{"className":2139,"style":716},[715],[574,2141,2143,2146,2150],{"className":2142},[609],[574,2144],{"className":2145,"style":730},[613],[574,2147,2149],{"className":2148},[618],"6",[574,2151,2153,2156],{"className":2152},[618],[574,2154,741],{"className":2155},[618],[574,2157,2159],{"className":2158},[745],[574,2160,2162],{"className":2161},[749],[574,2163,2165],{"className":2164},[753],[574,2166,2168],{"className":2167,"style":730},[757],[574,2169,2170,2173],{"style":760},[574,2171],{"className":2172,"style":765},[764],[574,2174,2176],{"className":2175},[769,770,771,772],[574,2177,694],{"className":2178},[776,772],". Gesucht ist die Ankathete:",[574,2181,2183],{"className":2182},[1173],[574,2184,2186,2241],{"className":2185},[577],[574,2187,2189],{"className":2188},[581],[583,2190,2191],{"xmlns":585,"display":1182},[587,2192,2193,2238],{},[590,2194,2195,2197,2199,2201,2203,2205,2207,2209,2211,2217,2219,2221,2223,2225,2227,2230,2232,2234,2236],{},[1188,2196,628],{},[682,2198,684],{},[689,2200,2063],{},[1188,2202,1493],{},[1188,2204,1496],{},[682,2206,1196],{},[593,2208,792],{},[682,2210,795],{},[686,2212,2213,2215],{},[689,2214,2113],{},[682,2216,694],{},[682,2218,684],{},[689,2220,2063],{},[1188,2222,1493],{},[1188,2224,1496],{},[682,2226,1196],{},[689,2228,2229],{},"0,5",[682,2231,684],{},[689,2233,2149],{},[1188,2235,1493],{},[1188,2237,1496],{},[597,2239,2240],{"encoding":599},"\\text{Ankathete} = 12\\,\\text{cm} \\cdot \\cos 60^\\circ = 12\\,\\text{cm} \\cdot 0{,}5 = 6\\,\\text{cm}",[574,2242,2244,2265,2292,2345,2372,2399],{"className":2243,"ariaHidden":605},[604],[574,2245,2247,2250,2256,2259,2262],{"className":2246},[609],[574,2248],{"className":2249,"style":1234},[613],[574,2251,2253],{"className":2252},[618,1238],[574,2254,628],{"className":2255},[618],[574,2257],{"className":2258,"style":716},[715],[574,2260,684],{"className":2261},[720],[574,2263],{"className":2264,"style":716},[715],[574,2266,2268,2271,2274,2277,2283,2286,2289],{"className":2267},[609],[574,2269],{"className":2270,"style":1136},[613],[574,2272,2063],{"className":2273},[618],[574,2275],{"className":2276,"style":828},[715],[574,2278,2280],{"className":2279},[618,1238],[574,2281,1496],{"className":2282},[618],[574,2284],{"className":2285,"style":1267},[715],[574,2287,1196],{"className":2288},[776],[574,2290],{"className":2291,"style":1267},[715],[574,2293,2295,2298,2301,2304,2307,2336,2339,2342],{"className":2294},[609],[574,2296],{"className":2297,"style":2034},[613],[574,2299,792],{"className":2300},[824],[574,2302],{"className":2303,"style":828},[715],[574,2305,2149],{"className":2306},[618],[574,2308,2310,2313],{"className":2309},[618],[574,2311,741],{"className":2312},[618],[574,2314,2316],{"className":2315},[745],[574,2317,2319],{"className":2318},[749],[574,2320,2322],{"className":2321},[753],[574,2323,2325],{"className":2324,"style":2034},[757],[574,2326,2327,2330],{"style":1952},[574,2328],{"className":2329,"style":765},[764],[574,2331,2333],{"className":2332},[769,770,771,772],[574,2334,694],{"className":2335},[776,772],[574,2337],{"className":2338,"style":716},[715],[574,2340,684],{"className":2341},[720],[574,2343],{"className":2344,"style":716},[715],[574,2346,2348,2351,2354,2357,2363,2366,2369],{"className":2347},[609],[574,2349],{"className":2350,"style":1136},[613],[574,2352,2063],{"className":2353},[618],[574,2355],{"className":2356,"style":828},[715],[574,2358,2360],{"className":2359},[618,1238],[574,2361,1496],{"className":2362},[618],[574,2364],{"className":2365,"style":1267},[715],[574,2367,1196],{"className":2368},[776],[574,2370],{"className":2371,"style":1267},[715],[574,2373,2375,2378,2381,2387,2390,2393,2396],{"className":2374},[609],[574,2376],{"className":2377,"style":1874},[613],[574,2379,741],{"className":2380},[618],[574,2382,2384],{"className":2383},[618],[574,2385,1885],{"className":2386},[1884],[574,2388,1579],{"className":2389},[618],[574,2391],{"className":2392,"style":716},[715],[574,2394,684],{"className":2395},[720],[574,2397],{"className":2398,"style":716},[715],[574,2400,2402,2405,2408,2411],{"className":2401},[609],[574,2403],{"className":2404,"style":1136},[613],[574,2406,2149],{"className":2407},[618],[574,2409],{"className":2410,"style":828},[715],[574,2412,2414],{"className":2413},[618,1238],[574,2415,1496],{"className":2416},[618],[565,2418,2419,2420,2463,2464,2527],{},"Eine ",[574,2421,2423,2442],{"className":2422},[577],[574,2424,2426],{"className":2425},[581],[583,2427,2428],{"xmlns":585},[587,2429,2430,2439],{},[590,2431,2432,2434,2436],{},[689,2433,1579],{},[1188,2435,1493],{},[1188,2437,2438],{},"m",[597,2440,2441],{"encoding":599},"5\\,\\text{m}",[574,2443,2445],{"className":2444,"ariaHidden":605},[604],[574,2446,2448,2451,2454,2457],{"className":2447},[609],[574,2449],{"className":2450,"style":1136},[613],[574,2452,1579],{"className":2453},[618],[574,2455],{"className":2456,"style":828},[715],[574,2458,2460],{"className":2459},[618,1238],[574,2461,2438],{"className":2462},[618]," lange Leiter lehnt an einer Wand und bildet mit dem Boden einen Winkel von ",[574,2465,2467,2486],{"className":2466},[577],[574,2468,2470],{"className":2469},[581],[583,2471,2472],{"xmlns":585},[587,2473,2474,2483],{},[590,2475,2476],{},[686,2477,2478,2481],{},[689,2479,2480],{},"70",[682,2482,694],{},[597,2484,2485],{"encoding":599},"70^\\circ",[574,2487,2489],{"className":2488,"ariaHidden":605},[604],[574,2490,2492,2495,2498],{"className":2491},[609],[574,2493],{"className":2494,"style":730},[613],[574,2496,2021],{"className":2497},[618],[574,2499,2501,2504],{"className":2500},[618],[574,2502,741],{"className":2503},[618],[574,2505,2507],{"className":2506},[745],[574,2508,2510],{"className":2509},[749],[574,2511,2513],{"className":2512},[753],[574,2514,2516],{"className":2515,"style":730},[757],[574,2517,2518,2521],{"style":760},[574,2519],{"className":2520,"style":765},[764],[574,2522,2524],{"className":2523},[769,770,771,772],[574,2525,694],{"className":2526},[776,772],". Wie weit steht ihr Fuß von der Wand entfernt? Die Leiter ist die Hypotenuse, der Abstand am Boden die Ankathete:",[574,2529,2531],{"className":2530},[1173],[574,2532,2534,2578],{"className":2533},[577],[574,2535,2537],{"className":2536},[581],[583,2538,2539],{"xmlns":585,"display":1182},[587,2540,2541,2575],{},[590,2542,2543,2546,2548,2550,2552,2554,2556,2558,2560,2566,2568,2571,2573],{},[593,2544,2545],{},"d",[682,2547,684],{},[689,2549,1579],{},[1188,2551,1493],{},[1188,2553,2438],{},[682,2555,1196],{},[593,2557,792],{},[682,2559,795],{},[686,2561,2562,2564],{},[689,2563,2480],{},[682,2565,694],{},[682,2567,1751],{},[689,2569,2570],{},"1,71",[1188,2572,1493],{},[1188,2574,2438],{},[597,2576,2577],{"encoding":599},"d = 5\\,\\text{m} \\cdot \\cos 70^\\circ \\approx 1{,}71\\,\\text{m}",[574,2579,2581,2599,2626,2679],{"className":2580,"ariaHidden":605},[604],[574,2582,2584,2587,2590,2593,2596],{"className":2583},[609],[574,2585],{"className":2586,"style":1234},[613],[574,2588,2545],{"className":2589},[618,619],[574,2591],{"className":2592,"style":716},[715],[574,2594,684],{"className":2595},[720],[574,2597],{"className":2598,"style":716},[715],[574,2600,2602,2605,2608,2611,2617,2620,2623],{"className":2601},[609],[574,2603],{"className":2604,"style":1136},[613],[574,2606,1579],{"className":2607},[618],[574,2609],{"className":2610,"style":828},[715],[574,2612,2614],{"className":2613},[618,1238],[574,2615,2438],{"className":2616},[618],[574,2618],{"className":2619,"style":1267},[715],[574,2621,1196],{"className":2622},[776],[574,2624],{"className":2625,"style":1267},[715],[574,2627,2629,2632,2635,2638,2641,2670,2673,2676],{"className":2628},[609],[574,2630],{"className":2631,"style":2034},[613],[574,2633,792],{"className":2634},[824],[574,2636],{"className":2637,"style":828},[715],[574,2639,2021],{"className":2640},[618],[574,2642,2644,2647],{"className":2643},[618],[574,2645,741],{"className":2646},[618],[574,2648,2650],{"className":2649},[745],[574,2651,2653],{"className":2652},[749],[574,2654,2656],{"className":2655},[753],[574,2657,2659],{"className":2658,"style":2034},[757],[574,2660,2661,2664],{"style":1952},[574,2662],{"className":2663,"style":765},[764],[574,2665,2667],{"className":2666},[769,770,771,772],[574,2668,694],{"className":2669},[776,772],[574,2671],{"className":2672,"style":716},[715],[574,2674,1751],{"className":2675},[720],[574,2677],{"className":2678,"style":716},[715],[574,2680,2682,2685,2688,2694,2698,2701],{"className":2681},[609],[574,2683],{"className":2684,"style":1874},[613],[574,2686,1154],{"className":2687},[618],[574,2689,2691],{"className":2690},[618],[574,2692,1885],{"className":2693},[1884],[574,2695,2697],{"className":2696},[618],"71",[574,2699],{"className":2700,"style":828},[715],[574,2702,2704],{"className":2703},[618,1238],[574,2705,2438],{"className":2706},[618],[560,2708,2710],{"id":2709},"typische-fehler","Typische Fehler",[2712,2713,2714,2747,2896],"ul",{},[2715,2716,2717,2718,2746],"li",{},"Ankathete und Hypotenuse verwechseln. Beide liegen am Winkel ",[574,2719,2721,2734],{"className":2720},[577],[574,2722,2724],{"className":2723},[581],[583,2725,2726],{"xmlns":585},[587,2727,2728,2732],{},[590,2729,2730],{},[593,2731,595],{},[597,2733,600],{"encoding":599},[574,2735,2737],{"className":2736,"ariaHidden":605},[604],[574,2738,2740,2743],{"className":2739},[609],[574,2741],{"className":2742,"style":614},[613],[574,2744,595],{"className":2745,"style":620},[618,619]," an, aber die Hypotenuse ist die Seite gegenüber dem rechten Winkel.",[2715,2748,2749,2750,2822,2823,1067],{},"Sinus und Kosinus vertauschen: Für den Abstand am Boden im Leiterbeispiel braucht man ",[574,2751,2753,2775],{"className":2752},[577],[574,2754,2756],{"className":2755},[581],[583,2757,2758],{"xmlns":585},[587,2759,2760,2772],{},[590,2761,2762,2764,2766],{},[593,2763,792],{},[682,2765,795],{},[686,2767,2768,2770],{},[689,2769,2480],{},[682,2771,694],{},[597,2773,2774],{"encoding":599},"\\cos 70^\\circ",[574,2776,2778],{"className":2777,"ariaHidden":605},[604],[574,2779,2781,2784,2787,2790,2793],{"className":2780},[609],[574,2782],{"className":2783,"style":730},[613],[574,2785,792],{"className":2786},[824],[574,2788],{"className":2789,"style":828},[715],[574,2791,2021],{"className":2792},[618],[574,2794,2796,2799],{"className":2795},[618],[574,2797,741],{"className":2798},[618],[574,2800,2802],{"className":2801},[745],[574,2803,2805],{"className":2804},[749],[574,2806,2808],{"className":2807},[753],[574,2809,2811],{"className":2810,"style":730},[757],[574,2812,2813,2816],{"style":760},[574,2814],{"className":2815,"style":765},[764],[574,2817,2819],{"className":2818},[769,770,771,772],[574,2820,694],{"className":2821},[776,772],", nicht ",[574,2824,2826,2849],{"className":2825},[577],[574,2827,2829],{"className":2828},[581],[583,2830,2831],{"xmlns":585},[587,2832,2833,2846],{},[590,2834,2835,2838,2840],{},[593,2836,2837],{},"sin",[682,2839,795],{},[686,2841,2842,2844],{},[689,2843,2480],{},[682,2845,694],{},[597,2847,2848],{"encoding":599},"\\sin 70^\\circ",[574,2850,2852],{"className":2851,"ariaHidden":605},[604],[574,2853,2855,2858,2861,2864,2867],{"className":2854},[609],[574,2856],{"className":2857,"style":730},[613],[574,2859,2837],{"className":2860},[824],[574,2862],{"className":2863,"style":828},[715],[574,2865,2021],{"className":2866},[618],[574,2868,2870,2873],{"className":2869},[618],[574,2871,741],{"className":2872},[618],[574,2874,2876],{"className":2875},[745],[574,2877,2879],{"className":2878},[749],[574,2880,2882],{"className":2881},[753],[574,2883,2885],{"className":2884,"style":730},[757],[574,2886,2887,2890],{"style":760},[574,2888],{"className":2889,"style":765},[764],[574,2891,2893],{"className":2892},[769,770,771,772],[574,2894,694],{"className":2895},[776,772],[2715,2897,2898,2899,2903,2904,2943,2944,2822,2989,1067],{},"Den Taschenrechner im Bogenmaß (",[2900,2901,2902],"code",{},"RAD",") rechnen lassen: ",[574,2905,2907,2925],{"className":2906},[577],[574,2908,2910],{"className":2909},[581],[583,2911,2912],{"xmlns":585},[587,2913,2914,2922],{},[590,2915,2916,2918,2920],{},[593,2917,792],{},[682,2919,795],{},[689,2921,2113],{},[597,2923,2924],{"encoding":599},"\\cos 60",[574,2926,2928],{"className":2927,"ariaHidden":605},[604],[574,2929,2931,2934,2937,2940],{"className":2930},[609],[574,2932],{"className":2933,"style":1136},[613],[574,2935,792],{"className":2936},[824],[574,2938],{"className":2939,"style":828},[715],[574,2941,2113],{"className":2942},[618]," im Bogenmaß ist etwa ",[574,2945,2947,2964],{"className":2946},[577],[574,2948,2950],{"className":2949},[581],[583,2951,2952],{"xmlns":585},[587,2953,2954,2961],{},[590,2955,2956,2958],{},[682,2957,1417],{},[689,2959,2960],{},"0,95",[597,2962,2963],{"encoding":599},"-0{,}95",[574,2965,2967],{"className":2966,"ariaHidden":605},[604],[574,2968,2970,2973,2976,2979,2985],{"className":2969},[609],[574,2971],{"className":2972,"style":1874},[613],[574,2974,1417],{"className":2975},[618],[574,2977,741],{"className":2978},[618],[574,2980,2982],{"className":2981},[618],[574,2983,1885],{"className":2984},[1884],[574,2986,2988],{"className":2987},[618],"95",[574,2990,2992,3006],{"className":2991},[577],[574,2993,2995],{"className":2994},[581],[583,2996,2997],{"xmlns":585},[587,2998,2999,3003],{},[590,3000,3001],{},[689,3002,2229],{},[597,3004,3005],{"encoding":599},"0{,}5",[574,3007,3009],{"className":3008,"ariaHidden":605},[604],[574,3010,3012,3015,3018,3024],{"className":3011},[609],[574,3013],{"className":3014,"style":1874},[613],[574,3016,741],{"className":3017},[618],[574,3019,3021],{"className":3020},[618],[574,3022,1885],{"className":3023},[1884],[574,3025,1579],{"className":3026},[618],{"title":3028,"searchDepth":3029,"depth":3029,"links":3030},"",2,[3031,3032,3033],{"id":562,"depth":3029,"text":563},{"id":1471,"depth":3029,"text":1472},{"id":2709,"depth":3029,"text":2710},[3035,3038,3041,3044,3046,3049],{"lhs":3036,"rhs":3037},"cos(atan(a\u002Fb))","b\u002Fsqrt(a^2 + b^2)",{"lhs":3039,"rhs":3040},"4\u002F5","0.8",{"lhs":3042,"rhs":3043},"round(acos(4\u002F5) * 180\u002Fpi, 2)","36.87",{"lhs":3045,"rhs":2149},"12 * cos(60*pi\u002F180)",{"lhs":3047,"rhs":3048},"round(5 * cos(70*pi\u002F180), 2)","1.71",{"lhs":3050,"rhs":3051},"round(cos(60), 2)","-0.95","\\text{rechtwinkliges Dreieck},\\ 0^\\circ \u003C \\alpha \u003C 90^\\circ","\u003Cspan class=\"katex\">rechtwinkliges\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">Dreieck\u003C\u002Fspan>\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.3em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmn>0\u003C\u002Fmn>\u003Cmo>∘\u003C\u002Fmo>\u003C\u002Fmsup>\u003Cmo><\u003C\u002Fmo>\u003Cmi>α\u003C\u002Fmi>\u003Cmo><\u003C\u002Fmo>\u003Cmsup>\u003Cmn>90\u003C\u002Fmn>\u003Cmo>∘\u003C\u002Fmo>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">0^\\circ < \\alpha < 90^\\circ\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7132em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6741em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mbin mtight\">∘\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\"><\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0037em;\">α\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\"><\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6741em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">9\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6741em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mbin 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