化简cosα+cos(120°-α)+cos(120+α)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 06:53:54
化简cosα+cos(120°-α)+cos(120+α)
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化简cosα+cos(120°-α)+cos(120+α)
化简cosα+cos(120°-α)+cos(120+α)

化简cosα+cos(120°-α)+cos(120+α)
cosα+cos(120°-α)+cos(120+α)
=cosα+(cos120cosα+sin120sinα)+(cos120cosα-sin120sinα)
=cosα+cos120cosα+sin120sinα+cos120cosα-sin120sinα
=cosα+2*cos120cosα
=cosα+2*cos(90+30)cosα
=cosα+2*(-1/2)cosα
=cosα+(-cosα)
=0

等于0