证明:(sinx)^2+sin(x+60度)^2+sin(x+120度)^2=3/2最好快点呵

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证明:(sinx)^2+sin(x+60度)^2+sin(x+120度)^2=3/2最好快点呵
证明:(sinx)^2+sin(x+60度)^2+sin(x+120度)^2=3/2
最好快点呵

证明:(sinx)^2+sin(x+60度)^2+sin(x+120度)^2=3/2最好快点呵
(sinx)^2+sin(x+60度)^2+sin(x+120度)^2
=sin²x+sin²(x+60°)+sin²(x-60°)
=sin²x+(1/2sinx+√3/2cosx)²+(1/2sinx-√3/2cosx)²
=sin²x+1/2sin²x+3/2cos²x
=3/2(sin²x+cos²x)
=3/2