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证明题:1+sin2-cos2a/1+sin2a+cos2a=tana
人气:475 ℃ 时间:2020-06-07 17:37:00
解答
左边=sin^2a+cos^2a+2sinacosa-cos^2a+sin^2a/sin^2a+cos^2a+2sinacosa+cos^2a-sin^2a
=2sin^2a+2sinacosa/2cos^2a+2sinacosa
=2sina(sina+cosa)/2cosa(cosa+sina)
=2sina/2cosa
=tana=右边
所以1+sin2-cos2a/1+sin2a+cos2a=tana
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