√2/2sin2x+√2/2(sin^2x-cos^2x)怎么化简成sin(2x-π/4)
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/16 11:13:54
√2/2sin2x+√2/2(sin^2x-cos^2x)怎么化简成sin(2x-π/4)
√2/2sin2x+√2/2(sin^2x-cos^2x)
=√2/2sin2x-√2/2cos2x
=sin2xcosπ/4-cos2xsinπ/4
=sin(2x-π/4)
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来源:学生作业帮助网 编辑:作业帮 时间:2024/05/16 11:13:54
√2/2sin2x+√2/2(sin^2x-cos^2x)怎么化简成sin(2x-π/4)
√2/2sin2x+√2/2(sin^2x-cos^2x)
=√2/2sin2x-√2/2cos2x
=sin2xcosπ/4-cos2xsinπ/4
=sin(2x-π/4)