函数化简(1+sinx/cosx)(sin2x/2cos^2(π/4-x/2))

问答/214℃/2024-10-05 21:00:12

优质解答:

原式=(1+sinx/cosx)(2sinxcosx*2)

=4sinxcosx+4sin^2(x)

=2sin2x+2(1-cos2x)

=2sin2x-2cos2x+2

=2√2sin(2x-∏/4)+2

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