化简sinxcosx+√3(cosx)^2

题目

化简sinxcosx+√3(cosx)^2

答案

sinxcosx+√3(cosx)^2
=1/2sin2x+√3/2(cos2x+1)
=1/2sin2x+√3/2cos2x+√3/2
=sin2xcosπ/6+cos2xsinπ/6+√3/2
=sin(2x+π/6)+√3/2