试证:1+sin2a/cos^2-sin^2=1+tana/1-tana
人气:346 ℃ 时间:2020-04-16 07:47:31
解答
1+sin2a/cos^2-sin^2
∵cos^2+sin^2=1,sin2a=2sina*cosa
∴原式=cos^2+sin^2+2sina*cosa/cos^2-sin^2
=(cosa+sina)^2/cos^2-sin^2
上下同除cosa+sina
原式=cosa+sina/cosa-sina
上下同除cosa
原式=1+tana/1-tana
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