2cos(x+y)cosx-cos(2x+y)化简

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2cos(x+y)cosx-cos(2x+y)化简
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2cos(x+y)cosx-cos(2x+y)化简
2cos(x+y)cosx-cos(2x+y)化简

2cos(x+y)cosx-cos(2x+y)化简
2cos(x+y)cosx-cos(2x+y)
=2cos(x+y)cosx-cos[(x+y)+x]
=2cos(x+y)cosx-cos(x+y)cosx+sin(x+y)sinx
=cos(x+y)cosx+sin(x+y)sinx
=cos[(x+y)-x]
=cosy

结果是cosy

cos(2x+y)
=cos(x+y)cosx-sin(x+y)sinx
2cos(x+y)cosx-cos(2x+y)
=cos(x+y)cosx+sin(x+y)sinx
=cos[(x+y)-x]=cosy