化简sinθ+cos(θ+2π/3)+cos(θ+4π/3)

问题描述:

化简sinθ+cos(θ+2π/3)+cos(θ+4π/3)

原式=sinθ-(1/2)cosθ-(√3/2)sinθ-(1/2)cosθ+(√3/2)sinθ
=sinθ-cosθ
=√2sin(θ-π/4)