问题
解答题
求证:
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答案
证明:∵左边=
=1-2sinxcosx cos2x-sin2x
=cos2x+sin2x-2sinxcosx cos2x-sin2x
═(cosx-sinx)2 (cosx-sinx)×(cosx+sinx)
=cosx-sinx cosx+sinx
=右边1-tanx 1+tanx
∴
=1-2sinxcosx cos2x-sin2x
成立1-tanx 1+tanx