sin^4x cos^2x+cos^4x sin^2 x=sin^2x*cot^2x 怎么得来sin^4x cos^2x+cos^4x sin^2 x=sin^2x*cot^2x 怎么得来

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sin^4x cos^2x+cos^4x sin^2 x=sin^2x*cot^2x 怎么得来sin^4x cos^2x+cos^4x sin^2 x=sin^2x*cot^2x 怎么得来

sin^4x cos^2x+cos^4x sin^2 x=sin^2x*cot^2x 怎么得来sin^4x cos^2x+cos^4x sin^2 x=sin^2x*cot^2x 怎么得来
sin^4x cos^2x+cos^4x sin^2 x=sin^2x*cot^2x 怎么得来
sin^4x cos^2x+cos^4x sin^2 x=sin^2x*cot^2x 怎么得来

sin^4x cos^2x+cos^4x sin^2 x=sin^2x*cot^2x 怎么得来sin^4x cos^2x+cos^4x sin^2 x=sin^2x*cot^2x 怎么得来
原式等于 sin^2(sin^2+cos^2)+cos^2 = sin^2*(1)+cos^2 = sin^2+cos^2 = 1

这个不是等于1吗

应该=sin²xcos²x吧！
sin^4x cos^2x+cos^4x sin^2 x
原式=sin²x*sin²xcos²x+cos²x*sin²xcos²x
=sin²xcos²x(sin²x+cos²x)
...

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应该=sin²xcos²x吧！
sin^4x cos^2x+cos^4x sin^2 x
原式=sin²x*sin²xcos²x+cos²x*sin²xcos²x
=sin²xcos²x(sin²x+cos²x)
=sin²xcos²x
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