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sin(x + y) |
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sin(x + y) = sinx*cosy + cosx*siny |
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cos(x + y) |
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cos(x + y) = cosx*cosy - sinx*siny |
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tg(x + y) |
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tg(x + y) = tgx + tgy/ 1 - tgx*tgy |
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ctg(x + y) |
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ctg(x + y) = ctgx*ctgy - 1/ ctgx + ctgy |
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sin(x - y) |
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sin(x - y) = sinx*cosy - cosx*siny |
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cos(x - y) |
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cos(x - y) = cosx*cosy + sinx*siny |
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tg(x - y) |
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tg(x - y) = tgx - tgy/ 1 + tgx*tgy |
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ctg(x - y) |
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ctg(x - y) = ctgx*ctgy + 1/ ctgx - ctgy |
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sin 2x |
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sin 2x = 2 sinx*cosx |
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cos 2x |
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cos 2x = cos2x - sin2x = 1 - 2 cos2x = 2 cos2x - 1 |
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tg 2x |
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tg 2x = 2tgx / (1- 2tgx) |
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ctg 2x |
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ctg 2x=(ctg2x - 1)/ 2ctgx |
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sin 3x |
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sin 3x = sinx(3cos2x - sin2x)= sinx(3 - 4 sin2x) |
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cos 3x |
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cos 3x = cosx(cos2x - 3 sin2x) = cosx(4 cos2x - 3) |
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tg 3x |
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tg 3x = tgx 3 - tg2x/ 1 - 3 tg2x |
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ctg 3x |
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ctg 3x = ctgx ctg2x - 3/ 3 ctg2x -1 |