cosθ+cos(120°-θ)+cos(120°+θ)怎么化简,急用,
问题描述:
cosθ+cos(120°-θ)+cos(120°+θ)怎么化简,急用,
答
cosθ+cos(120°-θ)+cos(120°+θ)
=cosθ+cos120°cosθ+sin120°sinθ+cos120°cosθ-sin120°sinθ
=cosθ+2cos120°cosθ
=cosθ+2x(-1/2)cosθ
=0