化简:cosα+cos(2π/3-α)+cos(2π/3+α)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/25 07:34:06
化简:cosα+cos(2π/3-α)+cos(2π/3+α)化简:cosα+cos(2π/3-α)+cos(2π/3+α)化简:cosα+cos(2π/3-α)+cos(2π/3+α)原式=cosα

化简:cosα+cos(2π/3-α)+cos(2π/3+α)
化简:cosα+cos(2π/3-α)+cos(2π/3+α)

化简:cosα+cos(2π/3-α)+cos(2π/3+α)
原式=cosα+(-1/2)cosα+(√3/2)sinα+(-1/2)cosa-(√3/2)sinα
=0
祝你开心!希望能帮到你,如果不懂,请追问,祝学习进步!O(∩_∩)O

cosα+cos(2π/3-α)+cos(2π/3+α)
=cosα+cos(2π/3)cosα+sin(2π/3)sinα+cos(2π/3)cosα-sin(2π/3)sinα
=cosα+2cos(2π/3)cosα
=cosα-cosα
=0