已知cos((π/4)-x)=-3/5,求sin2x/(sin(x+π/4))的值.求过程

问题描述:

已知cos((π/4)-x)=-3/5,求sin2x/(sin(x+π/4))的值.求过程
sin(x+π/4)=cos(π/4-x)=-3/5怎么得出来的啊?
1个回答 分类:综合 2014-11-16

问题解答:

我来补答
cos[(π/4)-x]=sin{(π/2)-[(π/4)-x]}=sin[(π/4)+x]=-3/5
∴sin[(π/4)+x]=-3/5
sin2x=cos[(π/2)-2x]=cos2[(π/4)-x]=2*{cos[(π/4)-x]}^2-1=2*(9/25)-1=-7/25
sin2x/(sin(x+π/4))= 7/15
 
 
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