求y=cos(2x+π/2)sin(2x+π/2)的导数

如题所述

第1个回答  2017-02-26
y=cos²(2x+π/3)-sin²(2x+π/3)
=[cos(4x+2π/3)+1]/2-[1-cos(4x+2π/3]/2
=cos(4x+2π/3)
所以T=2π/4=π/2
解析:运用原理2cos²x-1=cos2x和1-2sin²x=cos2x本回答被提问者采纳

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