化简:y=cos^2x+2sinxcosx-sin^2x

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 13:13:15

化简:y=cos^2x+2sinxcosx-sin^2x
化简:y=cos^2x+2sinxcosx-sin^2x

化简:y=cos^2x+2sinxcosx-sin^2x
y=cos^2x-sin^2x+2sinxcosx
=(2cos^2x-1)+sin2x
=cos2x+sin2x
=√2sin(2x+∏/4)