化简:y=cos^4 x+2 sinxcosx-sin^4 x

问题描述:

化简:y=cos^4 x+2 sinxcosx-sin^4 x

=(cos^4 x-sin^4 x) +2 sinxcosx
=(cos^2 x+sin^2 x)*(cos^2 x-sin^2 x) +2 sinxcosx
=cos^2 x-sin^2 x +2 sinxcosx
=(cos x-sin x )^2