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求证:tan(π/4+α)-tan(π/4-α)=2tan2α
人气:256 ℃ 时间:2020-06-27 19:10:28
解答
左式=(1+tanα)/(1-tanα)-(1-tanα)/(1+tanα)
=[(1+tanα)²-(1-tanα)²]/[(1-tanα)(1+tanα)]
=(4tanα)/(1-tan²α)
=2tan2α=右式
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