sinx+√3cosx怎么等于2sin(x+π/3)
问题描述:
sinx+√3cosx怎么等于2sin(x+π/3)
怎么换算的
答
sinx+√3cosx=2[(1/2)sinx+(√3/2)cosx]
=2[sinxcos(π/3)+sin(π/3)cosx]
=2sin(x+π/3)
利用公式sinαcosβ+cosαsinβ=sin(α+β)