f(x)=sin^4x+2√3sinxcosx-cos^4x化简
问题描述：
f(x)=sin^4x+2√3sinxcosx-cos^4x化简
答
原式=sinx^4-cosx^4+2√3sinxcosx
=sinx^2-cosx^2+√3sin2x
=1-cos2x/2-1+cos2x/2+√3sin2x
=-cos2x+√3sin2x
=2sin(2x-π/6)