题目内容
化简:4cos(60°-θ)·cosθ·cos(60°+θ).解:4cos(60°-θ)·cosθ·cos(60°+θ)
=2cosθ·[cos120°+cos(-2θ)]
=-cosθ+2cosθ·cos(-2θ)
=-cosθ+cos3θ+cosθ
=cos3θ.
练习册系列答案
相关题目
题目内容
化简:4cos(60°-θ)·cosθ·cos(60°+θ).解:4cos(60°-θ)·cosθ·cos(60°+θ)
=2cosθ·[cos120°+cos(-2θ)]
=-cosθ+2cosθ·cos(-2θ)
=-cosθ+cos3θ+cosθ
=cos3θ.