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1",[574,2061,2063,2115,2165],{"className":2062,"ariaHidden":621},[620],[574,2064,2066,2070,2099,2102,2105,2109,2112],{"className":2065},[625],[574,2067],{"className":2068,"style":2069},[629],"height:0.9552em;vertical-align:-0.0833em;",[574,2071,2073,2076],{"className":2072},[634],[574,2074,600],{"className":2075},[634],[574,2077,2079],{"className":2078},[641],[574,2080,2082],{"className":2081},[645],[574,2083,2085],{"className":2084},[649],[574,2086,2088],{"className":2087,"style":630},[653],[574,2089,2090,2093],{"style":656},[574,2091],{"className":2092,"style":661},[660],[574,2094,2096],{"className":2095},[665,666,667,668],[574,2097,608],{"className":2098},[672,668],[574,2100],{"className":2101,"style":677},[676],[574,2103,611],{"className":2104},[672,681],[574,2106],{"className":2107,"style":2108},[676],"margin-right:0.2222em;",[574,2110,1616],{"className":2111},[1507],[574,2113],{"className":2114,"style":2108},[676],[574,2116,2118,2121,2150,2153,2156,2159,2162],{"className":2117},[625],[574,2119],{"className":2120,"style":720},[629],[574,2122,2124,2127],{"className":2123},[634],[574,2125,701],{"className":2126},[634],[574,2128,2130],{"className":2129},[641],[574,2131,2133],{"className":2132},[645],[574,2134,2136],{"className":2135},[649],[574,2137,2139],{"className":2138,"style":720},[653],[574,2140,2141,2144],{"style":741},[574,2142],{"className":2143,"style":661},[660],[574,2145,2147],{"className":2146},[665,666,667,668],[574,2148,608],{"className":2149},[672,668],[574,2151],{"className":2152,"style":677},[676],[574,2154,611],{"className":2155},[672,681],[574,2157],{"className":2158,"style":1079},[676],[574,2160,1051],{"className":2161},[1083],[574,2163],{"className":2164,"style":1079},[676],[574,2166,2168,2172],{"className":2167},[625],[574,2169],{"className":2170,"style":2171},[629],"height:0.6444em;",[574,2173,1215],{"className":2174},[672]," erhält:",[574,2177,2180],{"className":2178},[2179],"katex-display",[574,2181,2183,2248],{"className":2182},[577],[574,2184,2186],{"className":2185},[581],[583,2187,2189],{"xmlns":585,"display":2188},"block",[587,2190,2191,2245],{},[590,2192,2193,2195,2197,2199,2201,2203,2205,2207,2209,2211,2213,2223,2225,2227,2229,2239,2241,2243],{},[598,2194,701],{},[602,2196,604],{},[602,2198,777],{"stretchy":776},[606,2200,608],{},[598,2202,611],{},[602,2204,784],{"stretchy":776},[602,2206,1051],{},[606,2208,1215],{},[602,2210,1218],{},[606,2212,608],{},[593,2214,2215,2221],{},[590,2216,2217,2219],{},[598,2218,600],{},[602,2220,604],{},[606,2222,608],{},[598,2224,611],{},[602,2226,1051],{},[606,2228,608],{},[593,2230,2231,2237],{},[590,2232,2233,2235],{},[598,2234,701],{},[602,2236,604],{},[606,2238,608],{},[598,2240,611],{},[602,2242,1218],{},[606,2244,1215],{},[613,2246,2247],{"encoding":615},"\\cos(2x) = 1 - 2\\sin^2 x = 2\\cos^2 x - 1",[574,2249,2251,2281,2300,2356,2415],{"className":2250,"ariaHidden":621},[620],[574,2252,2254,2257,2260,2263,2266,2269,2272,2275,2278],{"className":2253},[625],[574,2255],{"className":2256,"style":797},[629],[574,2258,701],{"className":2259},[634],[574,2261,777],{"className":2262},[804],[574,2264,608],{"className":2265},[672],[574,2267,611],{"className":2268},[672,681],[574,2270,784],{"className":2271},[814],[574,2273],{"className":2274,"style":1079},[676],[574,2276,1051],{"className":2277},[1083],[574,2279],{"className":2280,"style":1079},[676],[574,2282,2284,2288,2291,2294,2297],{"className":2283},[625],[574,2285],{"className":2286,"style":2287},[629],"height:0.7278em;vertical-align:-0.0833em;",[574,2289,1215],{"className":2290},[672],[574,2292],{"className":2293,"style":2108},[676],[574,2295,1218],{"className":2296},[1507],[574,2298],{"className":2299,"style":2108},[676],[574,2301,2303,2306,2309,2312,2341,2344,2347,2350,2353],{"className":2302},[625],[574,2304],{"className":2305,"style":630},[629],[574,2307,608],{"className":2308},[672],[574,2310],{"className":2311,"style":677},[676],[574,2313,2315,2318],{"className":2314},[634],[574,2316,600],{"className":2317},[634],[574,2319,2321],{"className":2320},[641],[574,2322,2324],{"className":2323},[645],[574,2325,2327],{"className":2326},[649],[574,2328,2330],{"className":2329,"style":630},[653],[574,2331,2332,2335],{"style":656},[574,2333],{"className":2334,"style":661},[660],[574,2336,2338],{"className":2337},[665,666,667,668],[574,2339,608],{"className":2340},[672,668],[574,2342],{"className":2343,"style":677},[676],[574,2345,611],{"className":2346},[672,681],[574,2348],{"className":2349,"style":1079},[676],[574,2351,1051],{"className":2352},[1083],[574,2354],{"className":2355,"style":1079},[676],[574,2357,2359,2363,2366,2369,2400,2403,2406,2409,2412],{"className":2358},[625],[574,2360],{"className":2361,"style":2362},[629],"height:0.9474em;vertical-align:-0.0833em;",[574,2364,608],{"className":2365},[672],[574,2367],{"className":2368,"style":677},[676],[574,2370,2372,2375],{"className":2371},[634],[574,2373,701],{"className":2374},[634],[574,2376,2378],{"className":2377},[641],[574,2379,2381],{"className":2380},[645],[574,2382,2384],{"className":2383},[649],[574,2385,2388],{"className":2386,"style":2387},[653],"height:0.8641em;",[574,2389,2391,2394],{"style":2390},"top:-3.113em;margin-right:0.05em;",[574,2392],{"className":2393,"style":661},[660],[574,2395,2397],{"className":2396},[665,666,667,668],[574,2398,608],{"className":2399},[672,668],[574,2401],{"className":2402,"style":677},[676],[574,2404,611],{"className":2405},[672,681],[574,2407],{"className":2408,"style":2108},[676],[574,2410,1218],{"className":2411},[1507],[574,2413],{"className":2414,"style":2108},[676],[574,2416,2418,2421],{"className":2417},[625],[574,2419],{"className":2420,"style":2171},[629],[574,2422,1215],{"className":2423},[672],[565,2425,2426,2427,2497,2498,2568],{},"Nach 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bzw. 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aufgelöst ergeben sich die beiden Formeln.",[560,2570,2572],{"id":2571},"beispiele","Beispiele",[565,2574,2575,2576,2688,2689,2775,2776,3033],{},"Exakter Wert von ",[574,2577,2579,2602],{"className":2578},[577],[574,2580,2582],{"className":2581},[581],[583,2583,2584],{"xmlns":585},[587,2585,2586,2599],{},[590,2587,2588,2590,2592],{},[598,2589,600],{},[602,2591,604],{},[1053,2593,2594,2597],{},[598,2595,2596],{},"π",[606,2598,1647],{},[613,2600,2601],{"encoding":615},"\\sin 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(also ",[574,2690,2692,2716],{"className":2691},[577],[574,2693,2695],{"className":2694},[581],[583,2696,2697],{"xmlns":585},[587,2698,2699,2713],{},[590,2700,2701,2703,2705],{},[598,2702,600],{},[602,2704,604],{},[593,2706,2707,2710],{},[606,2708,2709],{},"22,5",[602,2711,2712],{},"∘",[613,2714,2715],{"encoding":615},"\\sin 22{,}5^\\circ",[574,2717,2719],{"className":2718,"ariaHidden":621},[620],[574,2720,2722,2726,2729,2732,2736,2744],{"className":2721},[625],[574,2723],{"className":2724,"style":2725},[629],"height:0.8686em;vertical-align:-0.1944em;",[574,2727,600],{"className":2728},[634],[574,2730],{"className":2731,"style":677},[676],[574,2733,2735],{"className":2734},[672],"22",[574,2737,2739],{"className":2738},[672],[574,2740,2743],{"className":2741},[2742],"mpunct",",",[574,2745,2747,2751],{"className":2746},[672],[574,2748,2750],{"className":2749},[672],"5",[574,2752,2754],{"className":2753},[641],[574,2755,2757],{"className":2756},[645],[574,2758,2760],{"className":2759},[649],[574,2761,2764],{"className":2762,"style":2763},[653],"height:0.6741em;",[574,2765,2766,2769],{"style":741},[574,2767],{"className":2768,"style":661},[660],[574,2770,2772],{"className":2771},[665,666,667,668],[574,2773,2712],{"className":2774},[1507,668],") mit 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80h400000v40h-400000z",[574,3008,1161],{"className":3009},[1160],[574,3011,3013],{"className":3012},[649],[574,3014,3017],{"className":3015,"style":3016},[653],"height:0.1272em;",[574,3018],{},[574,3020,1161],{"className":3021},[1160],[574,3023,3025],{"className":3024},[649],[574,3026,3028],{"className":3027,"style":1168},[653],[574,3029],{},[574,3031],{"className":3032},[814,1100],":",[574,3035,3037],{"className":3036},[2179],[574,3038,3040,3140],{"className":3039},[577],[574,3041,3043],{"className":3042},[581],[583,3044,3045],{"xmlns":585,"display":2188},[587,3046,3047,3137],{},[590,3048,3049,3059,3065,3067,3085,3087,3101,3104,3107,3109,3111,3113,3119,3121],{},[593,3050,3051,3057],{},[590,3052,3053,3055],{},[598,3054,600],{},[602,3056,604],{},[606,3058,608],{},[1053,3060,3061,3063],{},[598,3062,2596],{},[606,3064,1647],{},[602,3066,1051],{},[1053,3068,3069,3083],{},[590,3070,3071,3073,3075],{},[606,3072,1215],{},[602,3074,1218],{},[1053,3076,3077,3081],{},[1207,3078,3079],{},[606,3080,608],{},[606,3082,608],{},[606,3084,608],{},[602,3086,1051],{},[1053,3088,3089,3099],{},[590,3090,3091,3093,3095],{},[606,3092,608],{},[602,3094,1218],{},[1207,3096,3097],{},[606,3098,608],{},[606,3100,1602],{},[676,3102],{"width":3103},"1em",[602,3105,3106],{},"⇒",[676,3108],{"width":3103},[598,3110,600],{},[602,3112,604],{},[1053,3114,3115,3117],{},[598,3116,2596],{},[606,3118,1647],{},[602,3120,1051],{},[1053,3122,3123,3135],{},[1207,3124,3125],{},[590,3126,3127,3129,3131],{},[606,3128,608],{},[602,3130,1218],{},[1207,3132,3133],{},[606,3134,608],{},[606,3136,608],{},[613,3138,3139],{"encoding":615},"\\sin^2 \\frac{\\pi}{8} = \\frac{1 - \\frac{\\sqrt{2}}{2}}{2} = \\frac{2 - \\sqrt{2}}{4}\n\\quad\\Rightarrow\\quad\n\\sin \\frac{\\pi}{8} = \\frac{\\sqrt{2 - \\sqrt{2}}}{2}",[574,3141,3143,3257,3461,3606,3689],{"className":3142,"ariaHidden":621},[620],[574,3144,3146,3150,3179,3182,3248,3251,3254],{"className":3145},[625],[574,3147],{"className":3148,"style":3149},[629],"height:1.7936em;vertical-align:-0.686em;",[574,3151,3153,3156],{"className":3152},[634],[574,3154,600],{"className":3155},[634],[574,3157,3159],{"className":3158},[641],[574,3160,3162],{"className":3161},[645],[574,3163,3165],{"className":3164},[649],[574,3166,3168],{"className":3167,"style":630},[653],[574,3169,3170,3173],{"style":656},[574,3171],{"className":3172,"style":661},[660],[574,3174,3176],{"className":3175},[665,666,667,668],[574,3177,608],{"className":3178},[672,668],[574,3180],{"className":3181,"style":677},[676],[574,3183,3185,3188,3245],{"className":3184},[672],[574,3186],{"className":3187},[804,1100],[574,3189,3191],{"className":3190},[1053],[574,3192,3194,3236],{"className":3193},[645,1107],[574,3195,3197,3233],{"className":3196},[649],[574,3198,3201,3213,3221],{"className":3199,"style":3200},[653],"height:1.1076em;",[574,3202,3204,3207],{"style":3203},"top:-2.314em;",[574,3205],{"className":3206,"style":1121},[660],[574,3208,3210],{"className":3209},[672],[574,3211,1647],{"className":3212},[672],[574,3214,3215,3218],{"style":1133},[574,3216],{"className":3217,"style":1121},[660],[574,3219],{"className":3220,"style":1141},[1140],[574,3222,3224,3227],{"style":3223},"top:-3.677em;",[574,3225],{"className":3226,"style":1121},[660],[574,3228,3230],{"className":3229},[672],[574,3231,2596],{"className":3232,"style":2673},[672,681],[574,3234,1161],{"className":3235},[1160],[574,3237,3239],{"className":3238},[649],[574,3240,3243],{"className":3241,"style":3242},[653],"height:0.686em;",[574,3244],{},[574,3246],{"className":3247},[814,1100],[574,3249],{"className":3250,"style":1079},[676],[574,3252,1051],{"className":3253},[1083],[574,3255],{"className":3256,"style":1079},[676],[574,3258,3260,3264,3452,3455,3458],{"className":3259},[625],[574,3261],{"className":3262,"style":3263},[629],"height:2.459em;vertical-align:-0.686em;",[574,3265,3267,3270,3449],{"className":3266},[672],[574,3268],{"className":3269},[804,1100],[574,3271,3273],{"className":3272},[1053],[574,3274,3276,3441],{"className":3275},[645,1107],[574,3277,3279,3438],{"className":3278},[649],[574,3280,3283,3296,3305],{"className":3281,"style":3282},[653],"height:1.773em;",[574,3284,3286,3290],{"style":3285},"top:-2.352em;",[574,3287],{"className":3288,"style":3289},[660],"height:3.038em;",[574,3291,3293],{"className":3292},[672],[574,3294,608],{"className":3295},[672],[574,3297,3299,3302],{"style":3298},"top:-3.268em;",[574,3300],{"className":3301,"style":3289},[660],[574,3303],{"className":3304,"style":1141},[1140],[574,3306,3308,3311],{"style":3307},"top:-3.773em;",[574,3309],{"className":3310,"style":3289},[660],[574,3312,3314,3317,3320,3323,3326],{"className":3313},[672],[574,3315,1215],{"className":3316},[672],[574,3318],{"className":3319,"style":2108},[676],[574,3321,1218],{"className":3322},[1507],[574,3324],{"className":3325,"style":2108},[676],[574,3327,3329,3332,3435],{"className":3328},[672],[574,3330],{"className":3331},[804,1100],[574,3333,3335],{"className":3334},[1053],[574,3336,3338,3427],{"className":3337},[645,1107],[574,3339,3341,3424],{"className":3340},[649],[574,3342,3344,3358,3366],{"className":3343,"style":2928},[653],[574,3345,3346,3349],{"style":1117},[574,3347],{"className":3348,"style":1121},[660],[574,3350,3352],{"className":3351},[665,666,667,668],[574,3353,3355],{"className":3354},[672,668],[574,3356,608],{"className":3357},[672,668],[574,3359,3360,3363],{"style":1133},[574,3361],{"className":3362,"style":1121},[660],[574,3364],{"className":3365,"style":1141},[1140],[574,3367,3368,3371],{"style":2953},[574,3369],{"className":3370,"style":1121},[660],[574,3372,3374],{"className":3373},[665,666,667,668],[574,3375,3377],{"className":3376},[672,668],[574,3378,3380],{"className":3379},[672,1425,668],[574,3381,3383,3416],{"className":3382},[645,1107],[574,3384,3386,3413],{"className":3385},[649],[574,3387,3389,3401],{"className":3388,"style":2975},[653],[574,3390,3392,3395],{"className":3391,"style":2979},[1439],[574,3393],{"className":3394,"style":1121},[660],[574,3396,3398],{"className":3397,"style":2986},[672,668],[574,3399,608],{"className":3400},[672,668],[574,3402,3403,3406],{"style":2992},[574,3404],{"className":3405,"style":1121},[660],[574,3407,3409],{"className":3408,"style":2999},[1553,668],[1273,3410,3411],{"xmlns":1275,"width":1557,"height":3002,"viewBox":3003,"preserveAspectRatio":1560},[1280,3412],{"d":3006},[574,3414,1161],{"className":3415},[1160],[574,3417,3419],{"className":3418},[649],[574,3420,3422],{"className":3421,"style":3016},[653],[574,3423],{},[574,3425,1161],{"className":3426},[1160],[574,3428,3430],{"className":3429},[649],[574,3431,3433],{"className":3432,"style":1168},[653],[574,3434],{},[574,3436],{"className":3437},[814,1100],[574,3439,1161],{"className":3440},[1160],[5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\\frac{\\pi}{4}",[574,5310,5312,5330],{"className":5311,"ariaHidden":621},[620],[574,5313,5315,5318,5321,5324,5327],{"className":5314},[625],[574,5316],{"className":5317,"style":1072},[629],[574,5319,611],{"className":5320},[672,681],[574,5322],{"className":5323,"style":1079},[676],[574,5325,1051],{"className":5326},[1083],[574,5328],{"className":5329,"style":1079},[676],[574,5331,5333,5336],{"className":5332},[625],[574,5334],{"className":5335,"style":2611},[629],[574,5337,5339,5342,5401],{"className":5338},[672],[574,5340],{"className":5341},[804,1100],[574,5343,5345],{"className":5344},[1053],[574,5346,5348,5393],{"className":5347},[645,1107],[574,5349,5351,5390],{"className":5350},[649],[574,5352,5354,5368,5376],{"className":5353,"style":2636},[653],[574,5355,5356,5359],{"style":1117},[574,5357],{"className":5358,"style":1121},[660],[574,5360,5362],{"className":5361},[665,666,667,668],[574,5363,5365],{"className":5364},[672,668],[574,5366,1602],{"className":5367},[672,668],[574,5369,5370,5373],{"style":1133},[574,5371],{"className":5372,"style":1121},[660],[574,5374],{"className":5375,"style":1141},[1140],[574,5377,5378,5381],{"style":1144},[574,5379],{"className":5380,"style":1121},[660],[574,5382,5384],{"className":5383},[665,666,667,668],[574,5385,5387],{"className":5386},[672,668],[574,5388,2596],{"className":5389,"style":2673},[672,681,668],[574,5391,1161],{"className":5392},[1160],[574,5394,5396],{"className":5395},[649],[574,5397,5399],{"className":5398,"style":1168},[653],[574,5400],{},[574,5402],{"className":5403},[814,1100],[574,5405,5407,5443],{"className":5406},[577],[574,5408,5410],{"className":5409},[581],[583,5411,5412],{"xmlns":585},[587,5413,5414,5440],{},[590,5415,5416,5426,5432,5434],{},[593,5417,5418,5424],{},[590,5419,5420,5422],{},[598,5421,600],{},[602,5423,604],{},[606,5425,608],{},[1053,5427,5428,5430],{},[598,5429,2596],{},[606,5431,1602],{},[602,5433,1051],{},[1053,5435,5436,5438],{},[606,5437,1215],{},[606,5439,608],{},[613,5441,5442],{"encoding":615},"\\sin^2 \\frac{\\pi}{4} = \\frac{1}{2}",[574,5444,5446,5562],{"className":5445,"ariaHidden":621},[620],[574,5447,5449,5453,5482,5485,5553,5556,5559],{"className":5448},[625],[574,5450],{"className":5451,"style":5452},[629],"height:1.2169em;vertical-align:-0.345em;",[574,5454,5456,5459],{"className":5455},[634],[574,5457,600],{"className":5458},[634],[574,5460,5462],{"className":5461},[641],[574,5463,5465],{"className":5464},[645],[574,5466,5468],{"className":5467},[649],[574,5469,5471],{"className":5470,"style":630},[653],[574,5472,5473,5476],{"style":656},[574,5474],{"className":5475,"style":661},[660],[574,5477,5479],{"className":5478},[665,666,667,668],[574,5480,608],{"className":5481},[672,668],[574,5483],{"className":5484,"style":677},[676],[574,5486,5488,5491,5550],{"className":5487},[672],[574,5489],{"className":5490},[804,1100],[574,5492,5494],{"className":5493},[1053],[574,5495,5497,5542],{"className":5496},[645,1107],[574,5498,5500,5539],{"className":5499},[649],[574,5501,5503,5517,5525],{"className":5502,"style":2636},[653],[574,5504,5505,5508],{"style":1117},[574,5506],{"className":5507,"style":1121},[660],[574,5509,5511],{"className":5510},[665,666,667,668],[574,5512,5514],{"className":5513},[672,668],[574,5515,1602],{"className":5516},[672,668],[574,5518,5519,5522],{"style":1133},[574,5520],{"className":5521,"style":1121},[660],[574,5523],{"className":5524,"style":1141},[1140],[574,5526,5527,5530],{"style":1144},[574,5528],{"className":5529,"style":1121},[660],[574,5531,5533],{"className":5532},[665,666,667,668],[574,5534,5536],{"className":5535},[672,668],[574,5537,2596],{"className":5538,"style":2673},[672,681,668],[574,5540,1161],{"className":5541},[1160],[574,5543,5545],{"className":5544},[649],[574,5546,5548],{"className":5547,"style":1168},[653],[574,5549],{},[574,5551],{"className":5552},[814,1100],[574,5554],{"className":5555,"style":1079},[676],[574,5557,1051],{"className":5558},[1083],[574,5560],{"className":5561,"style":1079},[676],[574,5563,5565,5568],{"className":5564},[625],[574,5566],{"className":5567,"style":1938},[629],[574,5569,5571,5574,5633],{"className":5570},[672],[574,5572],{"className":5573},[804,1100],[574,5575,5577],{"className":5576},[1053],[574,5578,5580,5625],{"className":5579},[645,1107],[574,5581,5583,5622],{"className":5582},[649],[574,5584,5586,5600,5608],{"className":5585,"style":1467},[653],[574,5587,5588,5591],{"style":1117},[574,5589],{"className":5590,"style":1121},[660],[574,5592,5594],{"className":5593},[665,666,667,668],[574,5595,5597],{"className":5596},[672,668],[574,5598,608],{"className":5599},[672,668],[574,5601,5602,5605],{"style":1133},[574,5603],{"className":5604,"style":1121},[660],[574,5606],{"className":5607,"style":1141},[1140],[574,5609,5610,5613],{"style":1144},[574,5611],{"className":5612,"style":1121},[660],[574,5614,5616],{"className":5615},[665,666,667,668],[574,5617,5619],{"className":5618},[672,668],[574,5620,1215],{"className":5621},[672,668],[574,5623,1161],{"className":5624},[1160],[574,5626,5628],{"className":5627},[649],[574,5629,5631],{"className":5630,"style":1168},[653],[574,5632],{},[574,5634],{"className":5635},[814,1100],", aber ",[574,5638,5640,5670],{"className":5639},[577],[574,5641,5643],{"className":5642},[581],[583,5644,5645],{"xmlns":585},[587,5646,5647,5667],{},[590,5648,5649,5651,5653,5655,5657,5663,5665],{},[606,5650,1215],{},[602,5652,1218],{},[598,5654,701],{},[602,5656,604],{},[1053,5658,5659,5661],{},[598,5660,2596],{},[606,5662,608],{},[602,5664,1051],{},[606,5666,1215],{},[613,5668,5669],{"encoding":615},"1 - \\cos \\frac{\\pi}{2} = 1",[574,5671,5673,5691,5780],{"className":5672,"ariaHidden":621},[620],[574,5674,5676,5679,5682,5685,5688],{"className":5675},[625],[574,5677],{"className":5678,"style":2287},[629],[574,5680,1215],{"className":5681},[672],[574,5683],{"className":5684,"style":2108},[676],[574,5686,1218],{"className":5687},[1507],[574,5689],{"className":5690,"style":2108},[676],[574,5692,5694,5697,5700,5703,5771,5774,5777],{"className":5693},[625],[574,5695],{"className":5696,"style":2611},[629],[574,5698,701],{"className":5699},[634],[574,5701],{"className":5702,"style":677},[676],[574,5704,5706,5709,5768],{"className":5705},[672],[574,5707],{"className":5708},[804,1100],[574,5710,5712],{"className":5711},[1053],[574,5713,5715,5760],{"className":5714},[645,1107],[574,5716,5718,5757],{"className":5717},[649],[574,5719,5721,5735,5743],{"className":5720,"style":2636},[653],[574,5722,5723,5726],{"style":1117},[574,5724],{"className":5725,"style":1121},[660],[574,5727,5729],{"className":5728},[665,666,667,668],[574,5730,5732],{"className":5731},[672,668],[574,5733,608],{"className":5734},[672,668],[574,5736,5737,5740],{"style":1133},[574,5738],{"className":5739,"style":1121},[660],[574,5741],{"className":5742,"style":1141},[1140],[574,5744,5745,5748],{"style":1144},[574,5746],{"className":5747,"style":1121},[660],[574,5749,5751],{"className":5750},[665,666,667,668],[574,5752,5754],{"className":5753},[672,668],[574,5755,2596],{"className":5756,"style":2673},[672,681,668],[574,5758,1161],{"className":5759},[1160],[574,5761,5763],{"className":5762},[649],[574,5764,5766],{"className":5765,"style":1168},[653],[574,5767],{},[574,5769],{"className":5770},[814,1100],[574,5772],{"className":5773,"style":1079},[676],[574,5775,1051],{"className":5776},[1083],[574,5778],{"className":5779,"style":1079},[676],[574,5781,5783,5786],{"className":5782},[625],[574,5784],{"className":5785,"style":2171},[629],[574,5787,1215],{"className":5788},[672],[823,5790,5791,5792,5843,5844,5937],{},"Die Vorzeichen vertauschen. Merkhilfe: Bei ",[574,5793,5795,5813],{"className":5794},[577],[574,5796,5798],{"className":5797},[581],[583,5799,5800],{"xmlns":585},[587,5801,5802,5810],{},[590,5803,5804,5806,5808],{},[598,5805,611],{},[602,5807,1051],{},[606,5809,4538],{},[613,5811,5812],{"encoding":615},"x = 0",[574,5814,5816,5834],{"className":5815,"ariaHidden":621},[620],[574,5817,5819,5822,5825,5828,5831],{"className":5818},[625],[574,5820],{"className":5821,"style":1072},[629],[574,5823,611],{"className":5824},[672,681],[574,5826],{"className":5827,"style":1079},[676],[574,5829,1051],{"className":5830},[1083],[574,5832],{"className":5833,"style":1079},[676],[574,5835,5837,5840],{"className":5836},[625],[574,5838],{"className":5839,"style":2171},[629],[574,5841,4538],{"className":5842},[672]," ist ",[574,5845,5847,5875],{"className":5846},[577],[574,5848,5850],{"className":5849},[581],[583,5851,5852],{"xmlns":585},[587,5853,5854,5872],{},[590,5855,5856,5866,5868,5870],{},[593,5857,5858,5864],{},[590,5859,5860,5862],{},[598,5861,701],{},[602,5863,604],{},[606,5865,608],{},[606,5867,4538],{},[602,5869,1051],{},[606,5871,1215],{},[613,5873,5874],{"encoding":615},"\\cos^2 0 = 1",[574,5876,5878,5928],{"className":5877,"ariaHidden":621},[620],[574,5879,5881,5884,5913,5916,5919,5922,5925],{"className":5880},[625],[574,5882],{"className":5883,"style":720},[629],[574,5885,5887,5890],{"className":5886},[634],[574,5888,701],{"className":5889},[634],[574,5891,5893],{"className":5892},[641],[574,5894,5896],{"className":5895},[645],[574,5897,5899],{"className":5898},[649],[574,5900,5902],{"className":5901,"style":720},[653],[574,5903,5904,5907],{"style":741},[574,5905],{"className":5906,"style":661},[660],[574,5908,5910],{"className":5909},[665,666,667,668],[574,5911,608],{"className":5912},[672,668],[574,5914],{"className":5915,"style":677},[676],[574,5917,4538],{"className":5918},[672],[574,5920],{"className":5921,"style":1079},[676],[574,5923,1051],{"className":5924},[1083],[574,5926],{"className":5927,"style":1079},[676],[574,5929,5931,5934],{"className":5930},[625],[574,5932],{"className":5933,"style":2171},[629],[574,5935,1215],{"className":5936},[672],", also gehört dort das Plus hin.",[823,5939,5940,6010,6011,6088,6089,1576],{},[574,5941,5943,5966],{"className":5942},[577],[574,5944,5946],{"className":5945},[581],[583,5947,5948],{"xmlns":585},[587,5949,5950,5964],{},[590,5951,5952,5962],{},[593,5953,5954,5960],{},[590,5955,5956,5958],{},[598,5957,600],{},[602,5959,604],{},[606,5961,608],{},[598,5963,611],{},[613,5965,616],{"encoding":615},[574,5967,5969],{"className":5968,"ariaHidden":621},[620],[574,5970,5972,5975,6004,6007],{"className":5971},[625],[574,5973],{"className":5974,"style":630},[629],[574,5976,5978,5981],{"className":5977},[634],[574,5979,600],{"className":5980},[634],[574,5982,5984],{"className":5983},[641],[574,5985,5987],{"className":5986},[645],[574,5988,5990],{"className":5989},[649],[574,5991,5993],{"className":5992,"style":630},[653],[574,5994,5995,5998],{"style":656},[574,5996],{"className":5997,"style":661},[660],[574,5999,6001],{"className":6000},[665,666,667,668],[574,6002,608],{"className":6003},[672,668],[574,6005],{"className":6006,"style":677},[676],[574,6008,611],{"className":6009},[672,681]," mit ",[574,6012,6014,6040],{"className":6013},[577],[574,6015,6017],{"className":6016},[581],[583,6018,6019],{"xmlns":585},[587,6020,6021,6037],{},[590,6022,6023,6025,6027,6029,6035],{},[598,6024,600],{},[602,6026,604],{},[602,6028,777],{"stretchy":776},[593,6030,6031,6033],{},[598,6032,611],{},[606,6034,608],{},[602,6036,784],{"stretchy":776},[613,6038,6039],{"encoding":615},"\\sin(x^2)",[574,6041,6043],{"className":6042,"ariaHidden":621},[620],[574,6044,6046,6050,6053,6056,6085],{"className":6045},[625],[574,6047],{"className":6048,"style":6049},[629],"height:1.0641em;vertical-align:-0.25em;",[574,6051,600],{"className":6052},[634],[574,6054,777],{"className":6055},[804],[574,6057,6059,6062],{"className":6058},[672],[574,6060,611],{"className":6061},[672,681],[574,6063,6065],{"className":6064},[641],[574,6066,6068],{"className":6067},[645],[574,6069,6071],{"className":6070},[649],[574,6072,6074],{"className":6073,"style":720},[653],[574,6075,6076,6079],{"style":741},[574,6077],{"className":6078,"style":661},[660],[574,6080,6082],{"className":6081},[665,666,667,668],[574,6083,608],{"className":6084},[672,668],[574,6086,784],{"className":6087},[814]," verwechseln. Die Formel gilt nur für ",[574,6090,6092,6118],{"className":6091},[577],[574,6093,6095],{"className":6094},[581],[583,6096,6097],{"xmlns":585},[587,6098,6099,6115],{},[590,6100,6101,6103,6105,6107,6109],{},[602,6102,777],{"stretchy":776},[598,6104,600],{},[602,6106,604],{},[598,6108,611],{},[593,6110,6111,6113],{},[602,6112,784],{"stretchy":776},[606,6114,608],{},[613,6116,6117],{"encoding":615},"(\\sin 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festmachen.",{"title":6172,"searchDepth":6173,"depth":6173,"links":6174},"",2,[6175,6176,6177,6178],{"id":562,"depth":6173,"text":563},{"id":2010,"depth":6173,"text":2011},{"id":2571,"depth":6173,"text":2572},{"id":4998,"depth":6173,"text":4999},[6180,6183,6186,6188,6191,6194,6197,6200,6203],{"lhs":6181,"rhs":6182},"sin(x)^2","(1 - cos(2*x))\u002F2",{"lhs":6184,"rhs":6185},"cos(x)^2","(1 + cos(2*x))\u002F2",{"lhs":6187,"rhs":1215},"(1 - cos(2*x))\u002F2 + (1 + cos(2*x))\u002F2",{"lhs":6189,"rhs":6190},"cos(x)^4","(3 + 4*cos(2*x) + cos(4*x))\u002F8",{"lhs":6192,"rhs":6193},"sin(pi\u002F8)^2","(2 - sqrt(2))\u002F4",{"lhs":6195,"rhs":6196},"sin(pi\u002F8)","sqrt(2 - sqrt(2))\u002F2",{"lhs":6198,"rhs":6199},"(pi\u002F2 - sin(2*pi)\u002F4) - (0 - sin(0)\u002F4)","pi\u002F2",{"lhs":6201,"rhs":6202},"x\u002F2 - sin(2*x)\u002F4","x\u002F2 - sin(x)*cos(x)\u002F2",{"lhs":6204,"rhs":6205},"sin(pi\u002F4)^2","1\u002F2",null,"md","power-reduction","\\sin^2 x = \\frac{1 - \\cos(2x)}{2}, \\quad 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