根号3/2*sinx+1/2*cosx 怎么变成sin(x+π/6)的呢
问题描述:
根号3/2*sinx+1/2*cosx 怎么变成sin(x+π/6)的呢
答
sin(π/6)=1/2;cos(π/6)=√3/2
∴√3/2*sinx+1/2*cosx
=cos(π/6)sinx+sin(π/6)cosx
=sin(x+π/6)