化简:cosα+cos(2π/3-α)+cos(2π/3+α)
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/27 00:22:23
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
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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
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