计算cosα-√3sinα+2cos(α-2π/3)

问题描述:

计算cosα-√3sinα+2cos(α-2π/3)

cosα-√3sinα+2cos(α-2π/3)
=cosα-√3sinα+2(cosαcos2π/3+sinαsin2π/3)
=cosα-√3sinα+2(-1/2*cosα+√3/2*sinα)
=cosα-√3sinα-cosα+√3sinα
=0