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folgt:",[716,1176,1177,1362,1588],{},[719,1178,1179,1011,1273],{},[573,1180,1182,1212],{"className":1181},[576],[573,1183,1185],{"className":1184},[580],[582,1186,1187],{"xmlns":584},[586,1188,1189,1209],{},[589,1190,1191,1194,1196,1199,1201,1203,1205,1207],{},[799,1192,1193],{},"−",[592,1195,594],{},[799,1197,1198],{},"≤",[631,1200,906],{},[799,1202,801],{},[631,1204,633],{},[799,1206,1198],{},[592,1208,594],{},[596,1210,1211],{"encoding":598},"-1 \\leq \\sin \\alpha \\leq 1",[573,1213,1215,1239,1264],{"className":1214,"ariaHidden":603},[602],[573,1216,1218,1222,1225,1228,1232,1236],{"className":1217},[607],[573,1219],{"className":1220,"style":1221},[611],"height:0.7804em;vertical-align:-0.136em;",[573,1223,1193],{"className":1224},[616],[573,1226,594],{"className":1227},[616],[573,1229],{"className":1230,"style":1231},[823],"margin-right:0.2778em;",[573,1233,1198],{"className":1234},[1235],"mrel",[573,1237],{"className":1238,"style":1231},[823],[573,1240,1242,1246,1249,1252,1255,1258,1261],{"className":1241},[607],[573,1243],{"className":1244,"style":1245},[611],"height:0.8038em;vertical-align:-0.136em;",[573,1247,906],{"className":1248},[819],[573,1250],{"className":1251,"style":824},[823],[573,1253,633],{"className":1254,"style":651},[616,650],[573,1256],{"className":1257,"style":1231},[823],[573,1259,1198],{"className":1260},[1235],[573,1262],{"className":1263,"style":1231},[823],[573,1265,1267,1270],{"className":1266},[607],[573,1268],{"className":1269,"style":612},[611],[573,1271,594],{"className":1272},[616],[573,1274,1276,1304],{"className":1275},[576],[573,1277,1279],{"className":1278},[580],[582,1280,1281],{"xmlns":584},[586,1282,1283,1301],{},[589,1284,1285,1287,1289,1291,1293,1295,1297,1299],{},[799,1286,1193],{},[592,1288,594],{},[799,1290,1198],{},[631,1292,797],{},[799,1294,801],{},[631,1296,633],{},[799,1298,1198],{},[592,1300,594],{},[596,1302,1303],{"encoding":598},"-1 \\leq \\cos \\alpha \\leq 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\\alpha + \\cos^2 \\alpha = 1",[573,1413,1415,1469,1520],{"className":1414,"ariaHidden":603},[602],[573,1416,1418,1422,1453,1456,1459,1463,1466],{"className":1417},[607],[573,1419],{"className":1420,"style":1421},[611],"height:0.9552em;vertical-align:-0.0833em;",[573,1423,1425,1428],{"className":1424},[819],[573,1426,906],{"className":1427},[819],[573,1429,1431],{"className":1430},[979],[573,1432,1434],{"className":1433},[983],[573,1435,1437],{"className":1436},[987],[573,1438,1441],{"className":1439,"style":1440},[991],"height:0.8719em;",[573,1442,1444,1447],{"style":1443},"top:-3.1208em;margin-right:0.05em;",[573,1445],{"className":1446,"style":999},[998],[573,1448,1450],{"className":1449},[1003,1004,1005,1006],[573,1451,1386],{"className":1452},[616,1006],[573,1454],{"className":1455,"style":824},[823],[573,1457,633],{"className":1458,"style":651},[616,650],[573,1460],{"className":1461,"style":1462},[823],"margin-right:0.2222em;",[573,1464,1391],{"className":1465},[1010],[573,1467],{"className":1468,"style":1462},[823],[573,1470,1472,1476,1505,1508,1511,1514,1517],{"className":1471},[607],[573,1473],{"className":1474,"style":1475},[611],"height:0.8141em;",[573,1477,1479,1482],{"className":1478},[819],[573,1480,797],{"className":1481},[819],[573,1483,1485],{"className":1484},[979],[573,1486,1488],{"className":1487},[983],[573,1489,1491],{"className":1490},[987],[573,1492,1494],{"className":1493,"style":1475},[991],[573,1495,1496,1499],{"style":994},[573,1497],{"className":1498,"style":999},[998],[573,1500,1502],{"className":1501},[1003,1004,1005,1006],[573,1503,1386],{"className":1504},[616,1006],[573,1506],{"className":1507,"style":824},[823],[573,1509,633],{"className":1510,"style":651},[616,650],[573,1512],{"className":1513,"style":1231},[823],[573,1515,1406],{"className":1516},[1235],[573,1518],{"className":1519,"style":1231},[823],[573,1521,1523,1526],{"className":1522},[607],[573,1524],{"className":1525,"style":612},[611],[573,1527,594],{"className":1528},[616],", weil ",[573,1531,1533,1546],{"className":1532},[576],[573,1534,1536],{"className":1535},[580],[582,1537,1538],{"xmlns":584},[586,1539,1540,1544],{},[589,1541,1542],{},[631,1543,697],{},[596,1545,697],{"encoding":598},[573,1547,1549],{"className":1548,"ariaHidden":603},[602],[573,1550,1552,1555],{"className":1551},[607],[573,1553],{"className":1554,"style":709},[611],[573,1556,697],{"className":1557,"style":713},[616,650]," den Abstand ",[573,1560,1562,1575],{"className":1561},[576],[573,1563,1565],{"className":1564},[580],[582,1566,1567],{"xmlns":584},[586,1568,1569,1573],{},[589,1570,1571],{},[592,1572,594],{},[596,1574,594],{"encoding":598},[573,1576,1578],{"className":1577,"ariaHidden":603},[602],[573,1579,1581,1584],{"className":1580},[607],[573,1582],{"className":1583,"style":612},[611],[573,1585,594],{"className":1586},[616]," vom Ursprung hat",[719,1589,1590],{},"Die Vorzeichen hängen vom Quadranten ab:",[1592,1593,1594,1687],"table",{},[1595,1596,1597],"thead",{},[1598,1599,1600,1604,1607,1647],"tr",{},[1601,1602,1603],"th",{},"Quadrant",[1601,1605,1606],{},"Winkel",[1601,1608,1609],{},[573,1610,1612,1629],{"className":1611},[576],[573,1613,1615],{"className":1614},[580],[582,1616,1617],{"xmlns":584},[586,1618,1619,1627],{},[589,1620,1621,1623,1625],{},[631,1622,906],{},[799,1624,801],{},[631,1626,633],{},[596,1628,913],{"encoding":598},[573,1630,1632],{"className":1631,"ariaHidden":603},[602],[573,1633,1635,1638,1641,1644],{"className":1634},[607],[573,1636],{"className":1637,"style":923},[611],[573,1639,906],{"className":1640},[819],[573,1642],{"className":1643,"style":824},[823],[573,1645,633],{"className":1646,"style":651},[616,650],[1601,1648,1649],{},[573,1650,1652,1669],{"className":1651},[576],[573,1653,1655],{"className":1654},[580],[582,1656,1657],{"xmlns":584},[586,1658,1659,1667],{},[589,1660,1661,1663,1665],{},[631,1662,797],{},[799,1664,801],{},[631,1666,633],{},[596,1668,806],{"encoding":598},[573,1670,1672],{"className":1671,"ariaHidden":603},[602],[573,1673,1675,1678,1681,1684],{"className":1674},[607],[573,1676],{"className":1677,"style":646},[611],[573,1679,797],{"className":1680},[819],[573,1682],{"className":1683,"style":824},[823],[573,1685,633],{"className":1686,"style":651},[616,650],[1688,1689,1690,1879,2072,2264],"tbody",{},[1598,1691,1692,1696,1818,1849],{},[1693,1694,1695],"td",{},"I",[1693,1697,1698,1756,1757],{},[573,1699,1701,1718],{"className":1700},[576],[573,1702,1704],{"className":1703},[580],[582,1705,1706],{"xmlns":584},[586,1707,1708,1716],{},[589,1709,1710],{},[949,1711,1712,1714],{},[592,1713,953],{},[799,1715,956],{},[596,1717,959],{"encoding":598},[573,1719,1721],{"className":1720,"ariaHidden":603},[602],[573,1722,1724,1727],{"className":1723},[607],[573,1725],{"className":1726,"style":969},[611],[573,1728,1730,1733],{"className":1729},[616],[573,1731,953],{"className":1732},[616],[573,1734,1736],{"className":1735},[979],[573,1737,1739],{"className":1738},[983],[573,1740,1742],{"className":1741},[987],[573,1743,1745],{"className":1744,"style":969},[991],[573,1746,1747,1750],{"style":994},[573,1748],{"className":1749,"style":999},[998],[573,1751,1753],{"className":1752},[1003,1004,1005,1006],[573,1754,956],{"className":1755},[1010,1006]," bis 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lassName":2104},[607],[573,2106],{"className":2107,"style":969},[611],[573,2109,1981],{"className":2110},[616],[573,2112,2114,2117],{"className":2113},[616],[573,2115,953],{"className":2116},[616],[573,2118,2120],{"className":2119},[979],[573,2121,2123],{"className":2122},[983],[573,2124,2126],{"className":2125},[987],[573,2127,2129],{"className":2128,"style":969},[991],[573,2130,2131,2134],{"style":994},[573,2132],{"className":2133,"style":999},[998],[573,2135,2137],{"className":2136},[1003,1004,1005,1006],[573,2138,956],{"className":2139},[1010,1006],[573,2141,2143,2162],{"className":2142},[576],[573,2144,2146],{"className":2145},[580],[582,2147,2148],{"xmlns":584},[586,2149,2150,2159],{},[589,2151,2152],{},[949,2153,2154,2157],{},[592,2155,2156],{},"270",[799,2158,956],{},[596,2160,2161],{"encoding":598},"270^\\circ",[573,2163,2165],{"className":2164,"ariaHidden":603},[602],[573,2166,2168,2171,2175],{"className":2167},[607],[573,2169],{"className":2170,"style":969},[611],[573,2172,2174],{"className":2173},[616],"27",[573,2176,2178,2181],{"className":2177},[616],[573,2179,953],{"className":2180},[616],[573,2182,2184],{"className":2183},[979],[573,2185,2187],{"className":2186},[983],[573,2188,2190],{"className":2189},[987],[573,2191,2193],{"className":2192,"style":969},[991],[573,2194,2195,2198],{"style":994},[573,2196],{"className":2197,"style":999},[998],[573,2199,2201],{"className":2200},[1003,1004,1005,1006],[573,2202,956],{"className":2203},[1010,1006],[1693,2205,2206],{},[573,2207,2209,2222],{"className":2208},[576],[573,2210,2212],{"className":2211},[580],[582,2213,2214],{"xmlns":584},[586,2215,2216,2220],{},[589,2217,2218],{},[799,2219,1193],{},[596,2221,2059],{"encoding":598},[573,2223,2225],{"className":2224,"ariaHidden":603},[602],[573,2226,2228,2231],{"className":2227},[607],[573,2229],{"className":2230,"style":1845},[611],[573,2232,1193],{"className":2233},[616],[1693,2235,2236],{},[573,2237,2239,2252],{"className":2238},[576],[573,2240,2242],{"className":2241},[580],[582,2243,2244],{"xmlns":584},[586,2245,2246,2250],{},[589,2247,2248],{},[799,2249,1193],{},[596,2251,2059],{"encoding":598},[573,2253,2255],{"className":2254,"ariaHidden":603},[602],[573,2256,2258,2261],{"className":2257},[607],[573,2259],{"className":2260,"style":1845},[611],[573,2262,1193],{"className":2263},[616],[1598,2265,2266,2269,2396,2426],{},[1693,2267,2268],{},"IV",[1693,2270,2271,1756,2332],{},[573,2272,2274,2291],{"className":2273},[576],[573,2275,2277],{"className":2276},[580],[582,2278,2279],{"xmlns":584},[586,2280,2281,2289],{},[589,2282,2283],{},[949,2284,2285,2287],{},[592,2286,2156],{},[799,2288,956],{},[596,2290,2161],{"encoding":598},[573,2292,2294],{"className":2293,"ariaHidden":603},[602],[573,2295,2297,2300,2303],{"className":2296},[607],[573,2298],{"className":2299,"style":969},[611],[573,2301,2174],{"className":2302},[616],[573,2304,2306,2309],{"className":2305},[616],[573,2307,953],{"className":2308},[616],[573,2310,2312],{"className":2311},[979],[573,2313,2315],{"className":2314},[983],[573,2316,2318],{"className":2317},[987],[573,2319,2321],{"className":2320,"style":969},[991],[573,2322,2323,2326],{"style":994},[573,2324],{"className":2325,"style":999},[998],[573,2327,2329],{"className":2328},[1003,1004,1005,1006],[573,2330,956],{"className":2331},[1010,1006],[573,2333,2335,2354],{"className":2334},[576],[573,2336,2338],{"className":2337},[580],[582,2339,2340],{"xmlns":584},[586,2341,2342,2351],{},[589,2343,2344],{},[949,2345,2346,2349],{},[592,2347,2348],{},"360",[799,2350,956],{},[596,2352,2353],{"encoding":598},"360^\\circ",[573,2355,2357],{"className":2356,"ariaHidden":603},[602],[573,2358,2360,2363,2367],{"className":2359},[607],[573,2361],{"className":2362,"style":969},[611],[573,2364,2366],{"className":2365},[616],"36",[573,2368,2370,2373],{"className":2369},[616],[573,2371,953],{"className":2372},[616],[573,2374,2376],{"className":2375},[979],[573,2377,2379],{"className":2378},[983],[573,2380,2382],{"className":2381},[987],[573,2383,2385],{"className":2384,"style":969},[991],[573,2386,2387,2390],{"style":994},[573,2388],{"className":2389,"style":999},[998],[573,2391,2393],{"className":2392},[1003,1004,1005,1006],[573,2394,956],{"className":2395},[1010,1006],[1693,2397,2398],{},[573,2399,2401,2414],{"className":2400},[576],[573,2402,2404],{"className":2403},[580],[582,2405,2406],{"xmlns":584},[586,2407,2408,2412],{},[589,2409,2410],{},[799,2411,1193],{},[596,2413,2059],{"encoding":598},[573,2415,2417],{"className":2416,"ariaHidden":603},[602],[573,2418,2420,2423],{"className":2419},[607],[573,2421],{"className":2422,"style":1845},[611],[573,2424,1193],{"className":2425},[616],[1693,2427,2428],{},[573,2429,2431,2444],{"className":2430},[576],[573,2432,2434],{"className":2433},[580],[582,2435,2436],{"xmlns":584},[586,2437,2438,2442],{},[589,2439,2440],{},[799,2441,1391],{},[596,2443,1391],{"encoding":598},[573,2445,2447],{"className":2446,"ariaHidden":603},[602],[573,2448,2450,2453],{"className":2449},[607],[573,2451],{"className":2452,"style":1845},[611],[573,2454,1391],{"className":2455},[616],[565,2457,2458,2459,2489,2490,828],{},"Bei einem Kreis mit Radius ",[573,2460,2462,2476],{"className":2461},[576],[573,2463,2465],{"className":2464},[580],[582,2466,2467],{"xmlns":584},[586,2468,2469,2474],{},[589,2470,2471],{},[631,2472,2473],{},"r",[596,2475,2473],{"encoding":598},[573,2477,2479],{"className":2478,"ariaHidden":603},[602],[573,2480,2482,2485],{"className":2481},[607],[573,2483],{"className":2484,"style":646},[611],[573,2486,2473],{"className":2487,"style":2488},[616,650],"margin-right:0.0278em;"," hat der Punkt die Koordinaten ",[573,2491,2493,2531],{"className":2492},[576],[573,2494,2496],{"className":2495},[580],[582,2497,2498],{"xmlns":584},[586,2499,2500,2528],{},[589,2501,2502,2506,2508,2510,2512,2514,2517,2519,2521,2523,2525],{},[799,2503,2505],{"stretchy":2504},"false","(",[631,2507,2473],{},[631,2509,797],{},[799,2511,801],{},[631,2513,633],{},[799,2515,2516],{},"∣",[631,2518,2473],{},[631,2520,906],{},[799,2522,801],{},[631,2524,633],{},[799,2526,2527],{"stretchy":2504},")",[596,2529,2530],{"encoding":598},"(r \\cos \\alpha \\mid r \\sin \\alpha)",[573,2532,2534,2569],{"className":2533,"ariaHidden":603},[602],[573,2535,2537,2541,2545,2548,2551,2554,2557,2560,2563,2566],{"className":2536},[607],[573,2538],{"className":2539,"style":2540},[611],"height:1em;vertical-align:-0.25em;",[573,2542,2505],{"className":2543},[2544],"mopen",[573,2546,2473],{"className":2547,"style":2488},[616,650],[573,2549],{"className":2550,"style":824},[823],[573,2552,797],{"className":2553},[819],[573,2555],{"className":2556,"style":824},[823],[573,2558,633],{"className":2559,"style":651},[616,650],[573,2561],{"className":2562,"style":1231},[823],[573,2564,2516],{"className":2565},[1235],[573,2567],{"className":2568,"style":1231},[823],[573,2570,2572,2575,2578,2581,2584,2587,2590],{"className":2571},[607],[573,2573],{"className":2574,"style":2540},[611],[573,2576,2473],{"className":2577,"style":2488},[616,650],[573,2579],{"className":2580,"style":824},[823],[573,2582,906],{"className":2583},[819],[573,2585],{"className":2586,"style":824},[823],[573,2588,633],{"className":2589,"style":651},[616,650],[573,2591,2527],{"className":2592},[2593],"mclose",[560,2595,2597],{"id":2596},"beispiele","Beispiele",[565,2599,2600,2601,2687,2688,2716,2717,2781,2782,2810],{},"Für ",[573,2602,2604,2627],{"className":2603},[576],[573,2605,2607],{"className":2606},[580],[582,2608,2609],{"xmlns":584},[586,2610,2611,2624],{},[589,2612,2613,2615,2617],{},[631,2614,633],{},[799,2616,1406],{},[949,2618,2619,2622],{},[592,2620,2621],{},"150",[799,2623,956],{},[596,2625,2626],{"encoding":598},"\\alpha = 150^\\circ",[573,2628,2630,2648],{"className":2629,"ariaHidden":603},[602],[573,2631,2633,2636,2639,2642,2645],{"className":2632},[607],[573,2634],{"className":2635,"style":646},[611],[573,2637,633],{"className":2638,"style":651},[616,650],[573,2640],{"className":2641,"style":1231},[823],[573,2643,1406],{"className":2644},[1235],[573,2646],{"className":2647,"style":1231},[823],[573,2649,2651,2654,2658],{"className":2650},[607],[573,2652],{"className":2653,"style":969},[611],[573,2655,2657],{"className":2656},[616],"15",[573,2659,2661,2664],{"className":2660},[616],[573,2662,953],{"className":2663},[616],[573,2665,2667],{"className":2666},[979],[573,2668,2670],{"className":2669},[983],[573,2671,2673],{"className":2672},[987],[573,2674,2676],{"className":2675,"style":969},[991],[573,2677,2678,2681],{"style":994},[573,2679],{"className":2680,"style":999},[998],[573,2682,2684],{"className":2683},[1003,1004,1005,1006],[573,2685,956],{"className":2686},[1010,1006]," liegt ",[573,2689,2691,2704],{"className":2690},[576],[573,2692,2694],{"className":2693},[580],[582,2695,2696],{"xmlns":584},[586,2697,2698,2702],{},[589,2699,2700],{},[631,2701,697],{},[596,2703,697],{"encoding":598},[573,2705,2707],{"className":2706,"ariaHidden":603},[602],[573,2708,2710,2713],{"className":2709},[607],[573,2711],{"className":2712,"style":709},[611],[573,2714,697],{"className":2715,"style":713},[616,650]," im zweiten Quadranten. Der Punkt ist das Spiegelbild des Punkts bei ",[573,2718,2720,2739],{"className":2719},[576],[573,2721,2723],{"className":2722},[580],[582,2724,2725],{"xmlns":584},[586,2726,2727,2736],{},[589,2728,2729],{},[949,2730,2731,2734],{},[592,2732,2733],{},"30",[799,2735,956],{},[596,2737,2738],{"encoding":598},"30^\\circ",[573,2740,2742],{"className":2741,"ariaHidden":603},[602],[573,2743,2745,2748,2752],{"className":2744},[607],[573,2746],{"className":2747,"style":969},[611],[573,2749,2751],{"className":2750},[616],"3",[573,2753,2755,2758],{"className":2754},[616],[573,2756,953],{"className":2757},[616],[573,2759,2761],{"className":2760},[979],[573,2762,2764],{"className":2763},[983],[573,2765,2767],{"className":2766},[987],[573,2768,2770],{"className":2769,"style":969},[991],[573,2771,2772,2775],{"style":994},[573,2773],{"className":2774,"style":999},[998],[573,2776,2778],{"className":2777},[1003,1004,1005,1006],[573,2779,956],{"className":2780},[1010,1006]," an der 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einem Kreis mit Radius ",[573,3885,3887,3900],{"className":3886},[576],[573,3888,3890],{"className":3889},[580],[582,3891,3892],{"xmlns":584},[586,3893,3894,3898],{},[589,3895,3896],{},[592,3897,1386],{},[596,3899,1386],{"encoding":598},[573,3901,3903],{"className":3902,"ariaHidden":603},[602],[573,3904,3906,3909],{"className":3905},[607],[573,3907],{"className":3908,"style":612},[611],[573,3910,1386],{"className":3911},[616]," liegt der Punkt zum Winkel 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bei:",[573,3979,3981],{"className":3980},[2814],[573,3982,3984,4044],{"className":3983},[576],[573,3985,3987],{"className":3986},[580],[582,3988,3989],{"xmlns":584,"display":2823},[586,3990,3991,4041],{},[589,3992,3993,4025,4027],{},[589,3994,3995,3997,3999,4001,4003,4009,4011,4013,4015,4017,4023],{},[799,3996,2505],{"fence":603},[592,3998,1386],{},[631,4000,797],{},[799,4002,801],{},[949,4004,4005,4007],{},[592,4006,3929],{},[799,4008,956],{},[799,4010,2516],{},[592,4012,1386],{},[631,4014,906],{},[799,4016,801],{},[949,4018,4019,4021],{},[592,4020,3929],{},[799,4022,956],{},[799,4024,2527],{"fence":603},[799,4026,1406],{},[589,4028,4029,4031,4033,4035,4039],{},[799,4030,2505],{"fence":603},[592,4032,594],{},[799,4034,2516],{},[2840,4036,4037],{},[592,4038,2751],{},[799,4040,2527],{"fence":603},[596,4042,4043],{"encoding":598},"\\left(2 \\cos 60^\\circ \\mid 2 \\sin 60^\\circ\\right) = \\left(1 \\mid 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Merkhilfe: Kosinus gehört zur ",[573,4263,4265,4278],{"className":4264},[576],[573,4266,4268],{"className":4267},[580],[582,4269,4270],{"xmlns":584},[586,4271,4272,4276],{},[589,4273,4274],{},[631,4275,667],{},[596,4277,667],{"encoding":598},[573,4279,4281],{"className":4280,"ariaHidden":603},[602],[573,4282,4284,4287],{"className":4283},[607],[573,4285],{"className":4286,"style":646},[611],[573,4288,667],{"className":4289},[616,650],"-Achse (waagerecht), Sinus zur ",[573,4292,4294,4307],{"className":4293},[576],[573,4295,4297],{"className":4296},[580],[582,4298,4299],{"xmlns":584},[586,4300,4301,4305],{},[589,4302,4303],{},[631,4304,847],{},[596,4306,847],{"encoding":598},[573,4308,4310],{"className":4309,"ariaHidden":603},[602],[573,4311,4313,4316],{"className":4312},[607],[573,4314],{"className":4315,"style":859},[611],[573,4317,847],{"className":4318,"style":863},[616,650],"-Achse (senkrecht).",[719,4321,4322,4323,4397,4398,828],{},"Die Vorzeichen außerhalb des ersten Quadranten vergessen, z.B. ",[573,4324,4326,4349],{"className":4325},[576],[573,4327,4329],{"className":4328},[580],[582,4330,4331],{"xmlns":584},[586,4332,4333,4346],{},[589,4334,4335,4337,4339],{},[631,4336,797],{},[799,4338,801],{},[949,4340,4341,4344],{},[592,4342,4343],{},"120",[799,4345,956],{},[596,4347,4348],{"encoding":598},"\\cos 120^\\circ",[573,4350,4352],{"className":4351,"ariaHidden":603},[602],[573,4353,4355,4358,4361,4364,4368],{"className":4354},[607],[573,4356],{"className":4357,"style":969},[611],[573,4359,797],{"className":4360},[819],[573,4362],{"className":4363,"style":824},[823],[573,4365,4367],{"className":4366},[616],"12",[573,4369,4371,4374],{"className":4370},[616],[573,4372,953],{"className":4373},[616],[573,4375,4377],{"className":4376},[979],[573,4378,4380],{"className":4379},[983],[573,4381,4383],{"className":4382},[987],[573,4384,4386],{"className":4385,"style":969},[991],[573,4387,4388,4391],{"style":994},[573,4389],{"className":4390,"style":999},[998],[573,4392,4394],{"className":4393},[1003,1004,1005,1006],[573,4395,956],{"className":4396},[1010,1006]," positiv angeben. Richtig ist ",[573,4399,4401,4433],{"className":4400},[576],[573,4402,4404],{"className":4403},[580],[582,4405,4406],{"xmlns":584},[586,4407,4408,4430],{},[589,4409,4410,4412,4414,4420,4422,4424],{},[631,4411,797],{},[799,4413,801],{},[949,4415,4416,4418],{},[592,4417,4343],{},[799,4419,956],{},[799,4421,1406],{},[799,4423,1193],{},[2837,4425,4426,4428],{},[592,4427,594],{},[592,4429,1386],{},[596,4431,4432],{"encoding":598},"\\cos 120^\\circ = -\\frac{1}{2}",[573,4434,4436,4489],{"className":4435,"ariaHidden":603},[602],[573,4437,4439,4442,4445,4448,4451,4480,4483,4486],{"className":4438},[607],[573,4440],{"className":4441,"style":969},[611],[573,4443,797],{"className":4444},[819],[573,4446],{"className":4447,"style":824},[823],[573,4449,4367],{"className":4450},[616],[573,4452,4454,4457],{"className":4453},[616],[573,4455,953],{"className":4456},[616],[573,4458,4460],{"className":4459},[979],[573,4461,4463],{"className":4462},[983],[573,4464,4466],{"className":4465},[987],[573,4467,4469],{"className":4468,"style":969},[991],[573,4470,4471,4474],{"style":994},[573,4472],{"className":4473,"style":999},[998],[573,4475,4477],{"className":4476},[1003,1004,1005,1006],[573,4478,956],{"className":4479},[1010,1006],[573,4481],{"className":4482,"style":1231},[823],[573,4484,1406],{"className":4485},[1235],[573,4487],{"className":4488,"style":1231},[823],[573,4490,4492,4496,4499],{"className":4491},[607],[573,4493],{"className":4494,"style":4495},[611],"height:1.1901em;vertical-align:-0.345em;",[573,4497,1193],{"className":4498},[616],[573,4500,4502,4505,4568],{"className":4501},[616],[573,4503],{"className":4504},[2544,2961],[573,4506,4508],{"className":4507},[2837],[573,4509,4511,4559],{"className":4510},[983,2968],[573,4512,4514,4556],{"className":4513},[987],[573,4515,4518,4533,4541],{"className":4516,"style":4517},[991],"height:0.8451em;",[573,4519,4521,4524],{"style":4520},"top:-2.655em;",[573,4522],{"className":4523,"style":2982},[998],[573,4525,4527],{"className":4526},[1003,1004,1005,1006],[573,4528,4530],{"className":4529},[616,1006],[573,4531,1386],{"className":4532},[616,1006],[573,4534,4535,4538],{"style":2991},[573,4536],{"className":4537,"style":2982},[998],[573,4539],{"className":4540,"style":2999},[2998],[573,4542,4544,4547],{"style":4543},"top:-3.394em;",[573,4545],{"className":4546,"style":2982},[998],[573,4548,4550],{"className":4549},[1003,1004,1005,1006],[573,4551,4553],{"className":4552},[616,1006],[573,4554,594],{"className":4555},[616,1006],[573,4557,3065],{"className":4558},[3064],[573,4560,4562],{"className":4561},[987],[573,4563,4566],{"className":4564,"style":4565},[991],"height:0.345em;",[573,4567],{},[573,4569],{"className":4570},[2593,2961],[719,4572,4573],{},"Den Winkel im Uhrzeigersinn abtragen. Positive Winkel laufen gegen den Uhrzeigersinn.",[719,4575,4576],{},"Den Taschenrechner im falschen Modus (Bogenmaß statt Gradmaß) verwenden.",{"title":4578,"searchDepth":4579,"depth":4579,"links":4580},"",2,[4581,4582,4583],{"id":562,"depth":4579,"text":563},{"id":2596,"depth":4579,"text":2597},{"id":4255,"depth":4579,"text":4256},[4585,4587,4590,4593,4596,4598,4600,4603,4605,4608],{"lhs":4586,"rhs":594},"cos(x)^2 + 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y-Koordinate",[4616,4617],-1.35,1.45,[4619,4620],-1.3,1.4,80,true,[4624,4630,4636,4640,4645,4651,4657],{"type":4625,"center":4626,"r":4628,"style":4629},"circle",[4627,4627],0,1,"muted",{"type":4631,"from":4632,"to":4633},"segment",[4627,4627],[4634,4635],0.766,0.6428,{"type":4631,"from":4637,"to":4638,"style":4639},[4634,4627],[4634,4635],"dashed",{"type":4641,"at":4642,"from":4643,"to":4644,"label":633},"angle",[4627,4627],[4628,4627],[4634,4635],{"type":4646,"at":4647,"label":697,"offset":4648},"point",[4634,4635],[4649,4650],8,-8,{"type":4652,"at":4653,"text":4656,"upright":4622},"label",[4654,4655],0.383,-0.1,"cos α",{"type":4652,"at":4658,"text":4661,"upright":4622},[4659,4660],1.1,0.321,"sin α","\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" viewBox=\"0 0 224 216\" width=\"224\" height=\"216\" role=\"img\" aria-label=\"Punkt P auf dem Einheitskreis, cos α ist die x-Koordinate, sin α die y-Koordinate\" class=\"formula-figure-svg\">\u003Cdefs>\u003Cmarker id=\"fig-unit-circle-arrow\" viewBox=\"0 0 10 10\" refX=\"9\" refY=\"5\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\u003Cpath d=\"M 0 0 L 10 5 L 0 10 z\" class=\"fig-arrowhead\"\u002F>\u003C\u002Fmarker>\u003CclipPath id=\"fig-unit-circle-clip\">\u003Crect x=\"0\" y=\"0\" width=\"224\" height=\"216\"\u002F>\u003C\u002FclipPath>\u003C\u002Fdefs>\u003Cline x1=\"0\" y1=\"112\" x2=\"224\" y2=\"112\" class=\"fig-axis\" marker-end=\"url(#fig-unit-circle-arrow)\"\u002F>\u003Cline x1=\"108\" y1=\"216\" x2=\"108\" y2=\"0\" class=\"fig-axis\" marker-end=\"url(#fig-unit-circle-arrow)\"\u002F>\u003Cline x1=\"28\" y1=\"109\" x2=\"28\" y2=\"115\" class=\"fig-axis\"\u002F>\u003Ctext x=\"31\" y=\"126\" text-anchor=\"start\" class=\"fig-tick\">−1\u003C\u002Ftext>\u003Cline x1=\"188\" y1=\"109\" x2=\"188\" y2=\"115\" class=\"fig-axis\"\u002F>\u003Ctext x=\"191\" y=\"126\" text-anchor=\"start\" class=\"fig-tick\">1\u003C\u002Ftext>\u003Cline x1=\"105\" y1=\"192\" x2=\"111\" y2=\"192\" class=\"fig-axis\"\u002F>\u003Ctext x=\"102\" y=\"185\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">−1\u003C\u002Ftext>\u003Cline x1=\"105\" y1=\"32\" x2=\"111\" y2=\"32\" class=\"fig-axis\"\u002F>\u003Ctext x=\"102\" y=\"25\" text-anchor=\"end\" dominant-baseline=\"middle\" class=\"fig-tick\">1\u003C\u002Ftext>\u003Ctext x=\"218\" y=\"100\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">x\u003C\u002Ftext>\u003Ctext x=\"120\" y=\"8\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">y\u003C\u002Ftext>\u003Ccircle cx=\"108\" cy=\"112\" r=\"80\" class=\"fig-muted\"\u002F>\u003Cline x1=\"108\" y1=\"112\" x2=\"169.28\" y2=\"60.58\" class=\"fig-main\"\u002F>\u003Cline x1=\"169.28\" y1=\"112\" x2=\"169.28\" y2=\"60.58\" class=\"fig-dashed\"\u002F>\u003Cpath d=\"M 108 112 L 130 112 A 22 22 0 0 0 124.85 97.86 Z\" class=\"fig-angle\"\u002F>\u003Ctext x=\"139.95\" y=\"100.37\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">α\u003C\u002Ftext>\u003Ccircle cx=\"169.28\" cy=\"60.58\" r=\"3\" class=\"fig-dot\"\u002F>\u003Ctext x=\"177.28\" y=\"52.58\" text-anchor=\"start\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">P\u003C\u002Ftext>\u003Ctext x=\"138.64\" y=\"120\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">cos α\u003C\u002Ftext>\u003Ctext x=\"196\" y=\"86.32\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label fig-upright\">sin α\u003C\u002Ftext>\u003C\u002Fsvg>","unit-circle","P = (\\cos \\alpha \\mid \\sin \\alpha)","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>P\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>cos\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>α\u003C\u002Fmi>\u003Cmo>∣\u003C\u002Fmo>\u003Cmi>sin\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>α\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P = (\\cos \\alpha \\mid \\sin \\alpha)\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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mop\">cos\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">sin\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0037em;\">α\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","middle",{},"\u002Fde\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Feinheitskreis",[],[4671,4672,4673,4674],"pythagorean-identity","sine-right-triangle","cosine-right-triangle","trig-symmetry",{"title":548,"description":4578},"de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Feinheitskreis","Am Einheitskreis ist der Kosinus eines Winkels die x-Koordinate und der Sinus die y-Koordinate des zugehörigen Punkts.",[4679,4680,4681,4682,4683],"einheitskreis","sinus","kosinus","koordinaten","winkel",[4685,4688],{"symbol":697,"meaning":4686,"symbolHtml":4687},"Punkt auf dem Einheitskreis (Kreis um den Ursprung mit Radius 1)","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>P\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P\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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":636,"meaning":4689,"symbolHtml":4690},"Winkel zwischen der positiven x-Achse und der Strecke vom Ursprung zu P, gegen den Uhrzeigersinn gemessen","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>α\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\alpha\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan 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