计算cos(35+x)cos(25-x)-cos(55-x)sin(25-x)

来源：学生作业帮助网编辑：作业帮时间：2024/05/05 02:04:25

cos(35+x)cos(25-x)-cos(55-x)sin(25-x)
=cos(35+x)cos(25-x)-cos[90-(x+35)]sin(25-x)
=cos(35+x)cos(25-x)-sin(x+35)sin(25-x)
=cos(35+x+25-x)
=cos60
=1/2

cos(35+x)cos(25-x)-cos(55-x)sin(25-x) =sin(55-x)cos(25-x)-cos(55-x)sin(25-x)=sin[55-x-(25-x)]=sin30=1/2

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