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