淮南市工商局官网:tan(π/4+α)-tan(π/4-α)=2tan2α
来源:百度文库 编辑:查人人中国名人网 时间:2024/04/29 04:11:12
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
先把tan改为sin/cos,再通分,再根据和差化积公式,就可以可以得到。
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tan(π/4+α)-tan(π/4-α)=2tan2α
求证:tan(π/4+α)-tan(π/4-α)=2tan2α
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