cos2x/根号2cos(x+π/4)=1/5,0

问题描述:

cos2x/根号2cos(x+π/4)=1/5,0
1个回答 分类:数学 2014-11-02

问题解答:

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(cos2x)/√2cos(x+π/4)=(cos²x-sin²x)/[√2(cosxcos(π/4)-sinxsin(π/4))]=[(cosx+sinx)(cosx-sinx)]/(cosx-sinx)=cosx+sinx=1/5即可.
 
 
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