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求证sin3x sinx三次方+cos3x cosx的三次方=cos2x三次方
人气:108 ℃ 时间:2020-03-19 07:58:00
解答
sin^3x表示sinx三次方sin3xsin^3x+cos3xcos^3x=sin2xcosxsin^3x+cos2xsin^4x+cos2xcos^4x-sin2xsinxcos^3x=1/2(sin^2(2x)sin^2x-sin^2(2x)cos^2x)+cos2x(sin^4x+cos^4x)=-1/2sin^2(2x)cos2x+cos2x(sin^4x+cos^4x)=-1...
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