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数学
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若tanx=2,则(1+sin2x)/cos2x=
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人气:123 ℃ 时间:2020-03-18 22:49:56
解答
原式=(sin²x+cos²x+2sinxcosx)/(cos²x-sin²x)
=(cosx+sinx)²/(cosx+sinx)(cosx-sinx)
=(cosx+sinx)/(cosx-sinx)
上下除cosx
且 sinx/cosx=tanx
=(1+tanx)/(1-tanx)
=-3
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