化简cosθ+cos(θ+2π/3)+cos(θ+4π/3)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/14 23:58:50
化简cosθ+cos(θ+2π/3)+cos(θ+4π/3)化简cosθ+cos(θ+2π/3)+cos(θ+4π/3)化简cosθ+cos(θ+2π/3)+cos(θ+4π/3)原式=cosθ+co

化简cosθ+cos(θ+2π/3)+cos(θ+4π/3)
化简cosθ+cos(θ+2π/3)+cos(θ+4π/3)

化简cosθ+cos(θ+2π/3)+cos(θ+4π/3)
原式=cosθ+cosθcos2π/3-sinθsin2π/3+cosθcos4π/3-sinθsin4π/3
=cosθ+cosθ*(-1/2)-sinθ*√3/2+cosθ*(-1/2)-sinθ*(-√3/2)
=0