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证明(1-cos^2a)/(sina-cosa)-(sina+cosa)/(tan^2-1)=sina+cosa
人气:420 ℃ 时间:2020-03-24 09:46:25
解答
证:
(1-cos^2a)/(sina-cosa)-(sina+cosa)/(tan^2a-1)
=sin^2a/(sina-cosa)-(sina+cosa)/(sin^2a/cos^2a-cos^2a/cos^2a)
=sin^2a/(sina-cosa)-(sina+cosa)/((sin^2a-cos^2a)/cos^2a) (平方差公式)
=sin^2a/(sina-cosa)-(cos^2a)/(sina-cosa)
=(sin^2a-cos^2a)/(sina-cosa) (平方差公式)
=sina+cosa=右边
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