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y",[575,1085,1087,1111,1132,1168],{"className":1086,"ariaHidden":626},[625],[575,1088,1090,1093,1096,1099,1102,1105,1108],{"className":1089},[630],[575,1091],{"className":1092,"style":635},[634],[575,1094,596],{"className":1095},[639],[575,1097,604],{"className":1098},[643],[575,1100,607],{"className":1101},[647,648],[575,1103],{"className":1104,"style":653},[652],[575,1106,698],{"className":1107},[657],[575,1109],{"className":1110,"style":653},[652],[575,1112,1114,1117,1120,1123,1126,1129],{"className":1113},[630],[575,1115],{"className":1116,"style":635},[634],[575,1118,613],{"className":1119,"style":670},[647,648],[575,1121,616],{"className":1122},[674],[575,1124],{"className":1125,"style":950},[652],[575,1127,877],{"className":1128},[954],[575,1130],{"className":1131,"style":950},[652],[575,1133,1135,1138,1141,1144,1147,1150,1153,1156,1159,1162,1165],{"className":1134},[630],[575,1136],{"className":1137,"style":964},[634],[575,1139,596],{"className":1140},[639],[575,1142],{"className":1143,"style":971},[652],[575,1145,607],{"className":1146},[647,648],[575,1148],{"className":1149,"style":971},[652],[575,1151,596],{"className":1152},[639],[575,1154],{"className":1155,"style":971},[652],[575,1157,613],{"className":1158,"style":670},[647,648],[575,1160],{"className":1161,"style":653},[652],[575,1163,610],{"className":1164},[657],[575,1166],{"className":1167,"style":653},[652],[575,1169,1171,1174,1177,1180,1183,1186,1189,1192],{"className":1170},[630],[575,1172],{"className":1173,"style":1002},[634],[575,1175,894],{"className":1176},[639],[575,1178],{"className":1179,"style":971},[652],[575,1181,607],{"className":1182},[647,648],[575,1184],{"className":1185,"style":971},[652],[575,1187,894],{"className":1188},[639],[575,1190],{"className":1191,"style":971},[652],[575,1193,613],{"className":1194,"style":670},[647,648],[561,1196,1198],{"id":1197},"herleitung","Herleitung",[566,1200,1201,1202,1236,1237,1265,1266,675,1349,1440,1441,1518,1519,1584],{},"Die Differenzformel folgt aus der Summenformel mit ",[575,1203,1205,1221],{"className":1204},[578],[575,1206,1208],{"className":1207},[582],[584,1209,1210],{"xmlns":586},[588,1211,1212,1218],{},[591,1213,1214,1216],{},[598,1215,698],{},[594,1217,613],{},[618,1219,1220],{"encoding":620},"-y",[575,1222,1224],{"className":1223,"ariaHidden":626},[625],[575,1225,1227,1230,1233],{"className":1226},[630],[575,1228],{"className":1229,"style":964},[634],[575,1231,698],{"className":1232},[647],[575,1234,613],{"className":1235,"style":670},[647,648]," statt ",[575,1238,1240,1253],{"className":1239},[578],[575,1241,1243],{"className":1242},[582],[584,1244,1245],{"xmlns":586},[588,1246,1247,1251],{},[591,1248,1249],{},[594,1250,613],{},[618,1252,613],{"encoding":620},[575,1254,1256],{"className":1255,"ariaHidden":626},[625],[575,1257,1259,1262],{"className":1258},[630],[575,1260],{"className":1261,"style":800},[634],[575,1263,613],{"className":1264,"style":670},[647,648],", denn ",[575,1267,1269,1301],{"className":1268},[578],[575,1270,1272],{"className":1271},[582],[584,1273,1274],{"xmlns":586},[588,1275,1276,1298],{},[591,1277,1278,1280,1282,1284,1286,1288,1290,1292,1294,1296],{},[594,1279,596],{},[598,1281,600],{},[598,1283,604],{"stretchy":603},[598,1285,698],{},[594,1287,613],{},[598,1289,616],{"stretchy":603},[598,1291,877],{},[594,1293,596],{},[598,1295,600],{},[594,1297,613],{},[618,1299,1300],{"encoding":620},"\\cos(-y) = \\cos y",[575,1302,1304,1334],{"className":1303,"ariaHidden":626},[625],[575,1305,1307,1310,1313,1316,1319,1322,1325,1328,1331],{"className":1306},[630],[575,1308],{"className":1309,"style":635},[634],[575,1311,596],{"className":1312},[639],[575,1314,604],{"className":1315},[643],[575,1317,698],{"className":1318},[647],[575,1320,613],{"className":1321,"style":670},[647,648],[575,1323,616],{"className":1324},[674],[575,1326],{"className":1327,"style":950},[652],[575,1329,877],{"className":1330},[954],[575,1332],{"className":1333,"style":950},[652],[575,1335,1337,1340,1343,1346],{"className":1336},[630],[575,1338],{"className":1339,"style":800},[634],[575,1341,596],{"className":1342},[639],[575,1344],{"className":1345,"style":971},[652],[575,1347,613],{"className":1348,"style":670},[647,648],[575,1350,1352,1386],{"className":1351},[578],[575,1353,1355],{"className":1354},[582],[584,1356,1357],{"xmlns":586},[588,1358,1359,1383],{},[591,1360,1361,1363,1365,1367,1369,1371,1373,1375,1377,1379,1381],{},[594,1362,894],{},[598,1364,600],{},[598,1366,604],{"stretchy":603},[598,1368,698],{},[594,1370,613],{},[598,1372,616],{"stretchy":603},[598,1374,877],{},[598,1376,698],{},[594,1378,894],{},[598,1380,600],{},[594,1382,613],{},[618,1384,1385],{"encoding":620},"\\sin(-y) = -\\sin y",[575,1387,1389,1419],{"className":1388,"ariaHidden":626},[625],[575,1390,1392,1395,1398,1401,1404,1407,1410,1413,1416],{"className":1391},[630],[575,1393],{"className":1394,"style":635},[634],[575,1396,894],{"className":1397},[639],[575,1399,604],{"className":1400},[643],[575,1402,698],{"className":1403},[647],[575,1405,613],{"className":1406,"style":670},[647,648],[575,1408,616],{"className":1409},[674],[575,1411],{"className":1412,"style":950},[652],[575,1414,877],{"className":1415},[954],[575,1417],{"className":1418,"style":950},[652],[575,1420,1422,1425,1428,1431,1434,1437],{"className":1421},[630],[575,1423],{"className":1424,"style":1002},[634],[575,1426,698],{"className":1427},[647],[575,1429],{"className":1430,"style":971},[652],[575,1432,894],{"className":1433},[639],[575,1435],{"className":1436,"style":971},[652],[575,1438,613],{"className":1439,"style":670},[647,648],". Damit wird aus ",[575,1442,1444,1476],{"className":1443},[578],[575,1445,1447],{"className":1446},[582],[584,1448,1449],{"xmlns":586},[588,1450,1451,1473],{},[591,1452,1453,1455,1457,1459,1461,1463,1465,1467,1469,1471],{},[598,1454,698],{},[594,1456,894],{},[598,1458,600],{},[594,1460,607],{},[594,1462,894],{},[598,1464,600],{},[598,1466,604],{"stretchy":603},[598,1468,698],{},[594,1470,613],{},[598,1472,616],{"stretchy":603},[618,1474,1475],{"encoding":620},"-\\sin x \\sin(-y)",[575,1477,1479],{"className":1478,"ariaHidden":626},[625],[575,1480,1482,1485,1488,1491,1494,1497,1500,1503,1506,1509,1512,1515],{"className":1481},[630],[575,1483],{"className":1484,"style":635},[634],[575,1486,698],{"className":1487},[647],[575,1489],{"className":1490,"style":971},[652],[575,1492,894],{"className":1493},[639],[575,1495],{"className":1496,"style":971},[652],[575,1498,607],{"className":1499},[647,648],[575,1501],{"className":1502,"style":971},[652],[575,1504,894],{"className":1505},[639],[575,1507,604],{"className":1508},[643],[575,1510,698],{"className":1511},[647],[575,1513,613],{"className":1514,"style":670},[647,648],[575,1516,616],{"className":1517},[674]," der Term ",[575,1520,1522,1548],{"className":1521},[578],[575,1523,1525],{"className":1524},[582],[584,1526,1527],{"xmlns":586},[588,1528,1529,1545],{},[591,1530,1531,1533,1535,1537,1539,1541,1543],{},[598,1532,610],{},[594,1534,894],{},[598,1536,600],{},[594,1538,607],{},[594,1540,894],{},[598,1542,600],{},[594,1544,613],{},[618,1546,1547],{"encoding":620},"+\\sin x \\sin y",[575,1549,1551],{"className":1550,"ariaHidden":626},[625],[575,1552,1554,1557,1560,1563,1566,1569,1572,1575,1578,1581],{"className":1553},[630],[575,1555],{"className":1556,"style":1002},[634],[575,1558,610],{"className":1559},[647],[575,1561],{"className":1562,"style":971},[652],[575,1564,894],{"className":1565},[639],[575,1567],{"className":1568,"style":971},[652],[575,1570,607],{"className":1571},[647,648],[575,1573],{"className":1574,"style":971},[652],[575,1576,894],{"className":1577},[639],[575,1579],{"className":1580,"style":971},[652],[575,1582,613],{"className":1583,"style":670},[647,648],".",[561,1586,1588],{"id":1587},"beispiele","Beispiele",[566,1590,1591,1592,1682,1683,1861],{},"Exakter Wert von ",[575,1593,1595,1621],{"className":1594},[578],[575,1596,1598],{"className":1597},[582],[584,1599,1600],{"xmlns":586},[588,1601,1602,1618],{},[591,1603,1604,1606,1608],{},[594,1605,596],{},[598,1607,600],{},[1609,1610,1611,1615],"msup",{},[1612,1613,1614],"mn",{},"75",[598,1616,1617],{},"∘",[618,1619,1620],{"encoding":620},"\\cos 75^\\circ",[575,1622,1624],{"className":1623,"ariaHidden":626},[625],[575,1625,1627,1631,1634,1637,1641],{"className":1626},[630],[575,1628],{"className":1629,"style":1630},[634],"height:0.6741em;",[575,1632,596],{"className":1633},[639],[575,1635],{"className":1636,"style":971},[652],[575,1638,1640],{"className":1639},[647],"7",[575,1642,1644,1648],{"className":1643},[647],[575,1645,1647],{"className":1646},[647],"5",[575,1649,1652],{"className":1650},[1651],"msupsub",[575,1653,1656],{"className":1654},[1655],"vlist-t",[575,1657,1660],{"className":1658},[1659],"vlist-r",[575,1661,1664],{"className":1662,"style":1630},[1663],"vlist",[575,1665,1667,1672],{"style":1666},"top:-3.063em;margin-right:0.05em;",[575,1668],{"className":1669,"style":1671},[1670],"pstrut","height:2.7em;",[575,1673,1679],{"className":1674},[1675,1676,1677,1678],"sizing","reset-size6","size3","mtight",[575,1680,1617],{"className":1681},[657,1678]," mit ",[575,1684,1686,1722],{"className":1685},[578],[575,1687,1689],{"className":1688},[582],[584,1690,1691],{"xmlns":586},[588,1692,1693,1719],{},[591,1694,1695,1701,1703,1710,1712],{},[1609,1696,1697,1699],{},[1612,1698,1614],{},[598,1700,1617],{},[598,1702,877],{},[1609,1704,1705,1708],{},[1612,1706,1707],{},"45",[598,1709,1617],{},[598,1711,610],{},[1609,1713,1714,1717],{},[1612,1715,1716],{},"30",[598,1718,1617],{},[618,1720,1721],{"encoding":620},"75^\\circ = 45^\\circ + 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x",[575,3435,3437,3462,3514],{"className":3436,"ariaHidden":626},[625],[575,3438,3440,3444,3447,3450,3453,3456,3459],{"className":3439},[630],[575,3441],{"className":3442,"style":3443},[634],"height:0.6444em;",[575,3445,596],{"className":3446},[639],[575,3448],{"className":3449,"style":971},[652],[575,3451,1837],{"className":3452},[647],[575,3454],{"className":3455,"style":950},[652],[575,3457,877],{"className":3458},[954],[575,3460],{"className":3461,"style":950},[652],[575,3463,3465,3469,3499,3502,3505,3508,3511],{"className":3464},[630],[575,3466],{"className":3467,"style":3468},[634],"height:0.8974em;vertical-align:-0.0833em;",[575,3470,3472,3475],{"className":3471},[639],[575,3473,596],{"className":3474},[639],[575,3476,3478],{"className":3477},[1651],[575,3479,3481],{"className":3480},[1655],[575,3482,3484],{"className":3483},[1659],[575,3485,3488],{"className":3486,"style":3487},[1663],"height:0.8141em;",[575,3489,3490,3493],{"style":1666},[575,3491],{"className":3492,"style":1671},[1670],[575,3494,3496],{"className":3495},[1675,1676,1677,1678],[575,3497,1941],{"className":3498},[647,1678],[575,3500],{"className":3501,"style":971},[652],[575,3503,607],{"className":3504},[647,648],[575,3506],{"className":3507,"style":653},[652],[575,3509,610],{"className":3510},[657],[575,3512],{"className":3513,"style":653},[652],[575,3515,3517,3521,3551,3554],{"className":3516},[630],[575,3518],{"className":3519,"style":3520},[634],"height:0.8719em;",[575,3522,3524,3527],{"className":3523},[639],[575,3525,894],{"className":3526},[639],[575,3528,3530],{"className":3529},[1651],[575,3531,3533],{"className":3532},[1655],[575,3534,3536],{"className":3535},[1659],[575,3537,3539],{"className":3538,"style":3520},[1663],[575,3540,3542,3545],{"style":3541},"top:-3.1208em;margin-right:0.05em;",[575,3543],{"className":3544,"style":1671},[1670],[575,3546,3548],{"className":3547},[1675,1676,1677,1678],[575,3549,1941],{"className":3550},[647,1678],[575,3552],{"className":3553,"style":971},[652],[575,3555,607],{"className":3556},[647,648],", also den trigonometrischen Pythagoras ",[575,3559,3561,3603],{"className":3560},[578],[575,3562,3564],{"className":3563},[582],[584,3565,3566],{"xmlns":586},[588,3567,3568,3600],{},[591,3569,3570,3580,3582,3584,3594,3596,3598],{},[1609,3571,3572,3578],{},[591,3573,3574,3576],{},[594,3575,894],{},[598,3577,600],{},[1612,3579,1941],{},[594,3581,607],{},[598,3583,610],{},[1609,3585,3586,3592],{},[591,3587,3588,3590],{},[594,3589,596],{},[598,3591,600],{},[1612,3593,1941],{},[594,3595,607],{},[598,3597,877],{},[1612,3599,1971],{},[618,3601,3602],{"encoding":620},"\\sin^2 x + \\cos^2 x = 1",[575,3604,3606,3657,3707],{"className":3605,"ariaHidden":626},[625],[575,3607,3609,3613,3642,3645,3648,3651,3654],{"className":3608},[630],[575,3610],{"className":3611,"style":3612},[634],"height:0.9552em;vertical-align:-0.0833em;",[575,3614,3616,3619],{"className":3615},[639],[575,3617,894],{"className":3618},[639],[575,3620,3622],{"className":3621},[1651],[575,3623,3625],{"className":3624},[1655],[575,3626,3628],{"className":3627},[1659],[575,3629,3631],{"className":3630,"style":3520},[1663],[575,3632,3633,3636],{"style":3541},[575,3634],{"className":3635,"style":1671},[1670],[575,3637,3639],{"className":3638},[1675,1676,1677,1678],[575,3640,1941],{"className":3641},[647,1678],[575,3643],{"className":3644,"style":971},[652],[575,3646,607],{"className":3647},[647,648],[575,3649],{"className":3650,"style":653},[652],[575,3652,610],{"className":3653},[657],[575,3655],{"className":3656,"style":653},[652],[575,3658,3660,3663,3692,3695,3698,3701,3704],{"className":3659},[630],[575,3661],{"className":3662,"style":3487},[634],[575,3664,3666,3669],{"className":3665},[639],[575,3667,596],{"className":3668},[639],[575,3670,3672],{"className":3671},[1651],[575,3673,3675],{"className":3674},[1655],[575,3676,3678],{"className":3677},[1659],[575,3679,3681],{"className":3680,"style":3487},[1663],[575,3682,3683,3686],{"style":1666},[575,3684],{"className":3685,"style":1671},[1670],[575,3687,3689],{"className":3688},[1675,1676,1677,1678],[575,3690,1941],{"className":3691},[647,1678],[575,3693],{"className":3694,"style":971},[652],[575,3696,607],{"className":3697},[647,648],[575,3699],{"className":3700,"style":950},[652],[575,3702,877],{"className":3703},[954],[575,3705],{"className":3706,"style":950},[652],[575,3708,3710,3713],{"className":3709},[630],[575,3711],{"className":3712,"style":3443},[634],[575,3714,1971],{"className":3715},[647],[561,3717,3719],{"id":3718},"typische-fehler","Typische Fehler",[3721,3722,3723,3898,4076],"ul",{},[3724,3725,3726,3727,3894,3895,3897],"li",{},"Das Vorzeichen aus der Klammer übernehmen: In ",[575,3728,3730,3783],{"className":3729},[578],[575,3731,3733],{"className":3732},[582],[584,3734,3735],{"xmlns":586},[588,3736,3737,3781],{},[591,3738,3739,3741,3743,3745,3747,3749,3751,3753,3755,3757,3759,3761,3763,3765,3767,3769,3771,3773,3775,3777,3779],{},[594,3740,596],{},[598,3742,600],{},[598,3744,604],{"stretchy":603},[594,3746,607],{},[598,3748,610],{},[594,3750,613],{},[598,3752,616],{"stretchy":603},[598,3754,877],{},[594,3756,596],{},[598,3758,600],{},[594,3760,607],{},[594,3762,596],{},[598,3764,600],{},[594,3766,613],{},[598,3768,698],{},[594,3770,894],{},[598,3772,600],{},[594,3774,607],{},[594,3776,894],{},[598,3778,600],{},[594,3780,613],{},[618,3782,907],{"encoding":620},[575,3784,3786,3810,3831,3867],{"className":3785,"ariaHidden":626},[625],[575,3787,3789,3792,3795,3798,3801,3804,3807],{"className":3788},[630],[575,3790],{"className":3791,"style":635},[634],[575,3793,596],{"className":3794},[639],[575,3796,604],{"className":3797},[643],[575,3799,607],{"className":3800},[647,648],[575,3802],{"className":3803,"style":653},[652],[575,3805,610],{"className":3806},[657],[575,3808],{"className":3809,"style":653},[652],[575,3811,3813,3816,3819,3822,3825,3828],{"className":3812},[630],[575,3814],{"className":3815,"style":635},[634],[575,3817,613],{"className":3818,"style":670},[647,648],[575,3820,616],{"className":3821},[674],[575,3823],{"className":3824,"style":950},[652],[575,3826,877],{"className":3827},[954],[575,3829],{"className":3830,"style":950},[652],[575,3832,3834,3837,3840,3843,3846,3849,3852,3855,3858,3861,3864],{"className":3833},[630],[575,3835],{"className":3836,"style":964},[634],[575,3838,596],{"className":3839},[639],[575,3841],{"className":3842,"style":971},[652],[575,3844,607],{"className":3845},[647,648],[575,3847],{"className":3848,"style":971},[652],[575,3850,596],{"className":3851},[639],[575,3853],{"className":3854,"style":971},[652],[575,3856,613],{"className":3857,"style":670},[647,648],[575,3859],{"className":3860,"style":653},[652],[575,3862,698],{"className":3863},[657],[575,3865],{"className":3866,"style":653},[652],[575,3868,3870,3873,3876,3879,3882,3885,3888,3891],{"className":3869},[630],[575,3871],{"className":3872,"style":1002},[634],[575,3874,894],{"className":3875},[639],[575,3877],{"className":3878,"style":971},[652],[575,3880,607],{"className":3881},[647,648],[575,3883],{"className":3884,"style":971},[652],[575,3886,894],{"className":3887},[639],[575,3889],{"className":3890,"style":971},[652],[575,3892,613],{"className":3893,"style":670},[647,648]," steht ",[570,3896,698],{}," statt +.",[3724,3899,3900,3901,1584],{},"Den Kosinus auf die Summe verteilen: ",[575,3902,3904,3948],{"className":3903},[578],[575,3905,3907],{"className":3906},[582],[584,3908,3909],{"xmlns":586},[588,3910,3911,3945],{},[591,3912,3913,3915,3917,3919,3921,3923,3925,3927,3931,3933,3935,3937,3939,3941,3943],{},[594,3914,596],{},[598,3916,600],{},[598,3918,604],{"stretchy":603},[594,3920,607],{},[598,3922,610],{},[594,3924,613],{},[598,3926,616],{"stretchy":603},[598,3928,3930],{"mathvariant":3929},"normal","≠",[594,3932,596],{},[598,3934,600],{},[594,3936,607],{},[598,3938,610],{},[594,3940,596],{},[598,3942,600],{},[594,3944,613],{},[618,3946,3947],{"encoding":620},"\\cos(x + y) \\neq \\cos x + \\cos y",[575,3949,3951,3975,4037,4061],{"className":3950,"ariaHidden":626},[625],[575,3952,3954,3957,3960,3963,3966,3969,3972],{"className":3953},[630],[575,3955],{"className":3956,"style":635},[634],[575,3958,596],{"className":3959},[639],[575,3961,604],{"className":3962},[643],[575,3964,607],{"className":3965},[647,648],[575,3967],{"className":3968,"style":653},[652],[575,3970,610],{"className":3971},[657],[575,3973],{"className":3974,"style":653},[652],[575,3976,3978,3981,3984,3987,3990,4034],{"className":3977},[630],[575,3979],{"className":3980,"style":635},[634],[575,3982,613],{"className":3983,"style":670},[647,648],[575,3985,616],{"className":3986},[674],[575,3988],{"className":3989,"style":950},[652],[575,3991,3993,4027,4031],{"className":3992},[954],[575,3994,3996],{"className":3995},[954],[575,3997,4000],{"className":3998},[647,3999],"vbox",[575,4001,4004],{"className":4002},[4003],"thinbox",[575,4005,4008,4012,4023],{"className":4006},[4007],"rlap",[575,4009],{"className":4010,"style":4011},[634],"height:0.8889em;vertical-align:-0.1944em;",[575,4013,4016],{"className":4014},[4015],"inner",[575,4017,4019],{"className":4018},[647],[575,4020,4022],{"className":4021},[954],"",[575,4024],{"className":4025},[4026],"fix",[575,4028],{"className":4029},[652,4030],"nobreak",[575,4032,877],{"className":4033},[954],[575,4035],{"className":4036,"style":950},[652],[575,4038,4040,4043,4046,4049,4052,4055,4058],{"className":4039},[630],[575,4041],{"className":4042,"style":839},[634],[575,4044,596],{"className":4045},[639],[575,4047],{"className":4048,"style":971},[652],[575,4050,607],{"className":4051},[647,648],[575,4053],{"className":4054,"style":653},[652],[575,4056,610],{"className":4057},[657],[575,4059],{"className":4060,"style":653},[652],[575,4062,4064,4067,4070,4073],{"className":4063},[630],[575,4065],{"className":4066,"style":800},[634],[575,4068,596],{"className":4069},[639],[575,4071],{"className":4072,"style":971},[652],[575,4074,613],{"className":4075,"style":670},[647,648],[3724,4077,4078,4079,4136,4137,4194],{},"Die Produkte vertauschen: Beim Kosinus stehen gleichartige Produkte (",[575,4080,4082,4106],{"className":4081},[578],[575,4083,4085],{"className":4084},[582],[584,4086,4087],{"xmlns":586},[588,4088,4089,4103],{},[591,4090,4091,4093,4095,4097,4099,4101],{},[594,4092,596],{},[598,4094,600],{},[594,4096,607],{},[594,4098,596],{},[598,4100,600],{},[594,4102,613],{},[618,4104,4105],{"encoding":620},"\\cos x \\cos y",[575,4107,4109],{"className":4108,"ariaHidden":626},[625],[575,4110,4112,4115,4118,4121,4124,4127,4130,4133],{"className":4111},[630],[575,4113],{"className":4114,"style":800},[634],[575,4116,596],{"className":4117},[639],[575,4119],{"className":4120,"style":971},[652],[575,4122,607],{"className":4123},[647,648],[575,4125],{"className":4126,"style":971},[652],[575,4128,596],{"className":4129},[639],[575,4131],{"className":4132,"style":971},[652],[575,4134,613],{"className":4135,"style":670},[647,648],", ",[575,4138,4140,4164],{"className":4139},[578],[575,4141,4143],{"className":4142},[582],[584,4144,4145],{"xmlns":586},[588,4146,4147,4161],{},[591,4148,4149,4151,4153,4155,4157,4159],{},[594,4150,894],{},[598,4152,600],{},[594,4154,607],{},[594,4156,894],{},[598,4158,600],{},[594,4160,613],{},[618,4162,4163],{"encoding":620},"\\sin x \\sin y",[575,4165,4167],{"className":4166,"ariaHidden":626},[625],[575,4168,4170,4173,4176,4179,4182,4185,4188,4191],{"className":4169},[630],[575,4171],{"className":4172,"style":1002},[634],[575,4174,894],{"className":4175},[639],[575,4177],{"className":4178,"style":971},[652],[575,4180,607],{"className":4181},[647,648],[575,4183],{"className":4184,"style":971},[652],[575,4186,894],{"className":4187},[639],[575,4189],{"className":4190,"style":971},[652],[575,4192,613],{"className":4193,"style":670},[647,648],"), nicht gemischte wie beim Sinus.",{"title":4196,"searchDepth":4197,"depth":4197,"links":4198},"",2,[4199,4200,4201,4202],{"id":563,"depth":4197,"text":564},{"id":1197,"depth":4197,"text":1198},{"id":1587,"depth":4197,"text":1588},{"id":3718,"depth":4197,"text":3719},[4204,4207,4210,4213,4216,4219],{"lhs":4205,"rhs":4206},"cos(x + y)","cos(x)*cos(y) - sin(x)*sin(y)",{"lhs":4208,"rhs":4209},"cos(x - y)","cos(x)*cos(y) + sin(x)*sin(y)",{"lhs":4211,"rhs":4212},"cos(45*pi\u002F180)*cos(30*pi\u002F180) - sin(45*pi\u002F180)*sin(30*pi\u002F180)","sqrt(2)\u002F2 * sqrt(3)\u002F2 - sqrt(2)\u002F2 * 1\u002F2",{"lhs":4214,"rhs":4215},"cos(75*pi\u002F180)","(sqrt(6) - sqrt(2))\u002F4",{"lhs":4217,"rhs":4218},"cos(15*pi\u002F180)","(sqrt(6) + sqrt(2))\u002F4",{"lhs":4220,"rhs":4221},"cos(x - x)","cos(x)^2 + sin(x)^2",null,"md","cosine-addition","\\cos(x \\pm y) = \\cos x \\cos y \\mp \\sin x \\sin y","\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>cos\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>±\u003C\u002Fmo>\u003Cmi>y\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>cos\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>cos\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>y\u003C\u002Fmi>\u003Cmo>∓\u003C\u002Fmo>\u003Cmi>sin\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>sin\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>y\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\cos(x \\pm y) = \\cos x \\cos y \\mp \\sin x \\sin y\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">cos\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">±\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\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\" 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