2cos(x+y)cosx-cos(2x+y)化简

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/22 22:35:35
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)=2

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