求证:cosx+根3sinx=2cos(x-π/3)
问题描述:
求证:cosx+根3sinx=2cos(x-π/3)
答
左边=2(cosx*1/2+sinx*√3/2)
=2(cosxcosπ/3+sinxsinπ/3)
=2cos(x-π/3)=右边
命题得证