√2sin2(x-π/4)+√6cos2(x-π/4)化简打错了是√2/2sin2(x-π/4)+√6/2cos2(x-π/4)化简。

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/27 21:30:44
√2sin2(x-π/4)+√6cos2(x-π/4)化简打错了是√2/2sin2(x-π/4)+√6/2cos2(x-π/4)化简。

√2sin2(x-π/4)+√6cos2(x-π/4)化简打错了是√2/2sin2(x-π/4)+√6/2cos2(x-π/4)化简。
√2sin2(x-π/4)+√6cos2(x-π/4)化简
打错了是√2/2sin2(x-π/4)+√6/2cos2(x-π/4)化简。

√2sin2(x-π/4)+√6cos2(x-π/4)化简打错了是√2/2sin2(x-π/4)+√6/2cos2(x-π/4)化简。
√2/2sin2(x-π/4)+√6/2cos2(x-π/4)
=√2/2sin(2x-π/2)+√6/2cos(2x-π/2)
=-√2/2cos2x+√6/2sin2x
=√2(√3/2sin2x-1/2cos2x)
=√2sin(2x-π/6)

原式=√2sin(2x-π/2)+√6cos(2x-π/2)
=√6sin2x-√2cos2x
=2√2(sin2x*√3/2-cos2x*1/2)
=2√2(sin2xcosπ/6-cos2xsinπ/6)
=2√2sin(2x-π/6)打错了是√2/2sin2(x-π/4)+√6/2cos2(x-π/4)化简。。
麻烦了。。差1/2,一样的麻烦给个过程。...

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原式=√2sin(2x-π/2)+√6cos(2x-π/2)
=√6sin2x-√2cos2x
=2√2(sin2x*√3/2-cos2x*1/2)
=2√2(sin2xcosπ/6-cos2xsinπ/6)
=2√2sin(2x-π/6)

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