证明:1+tan^2a=tana/sinacosa
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证明:1+tan^2a=tana/sinacosa
证明:1+tan^2a=tana/sinacosa
证明:1+tan^2a=tana/sinacosa
左边=1+sin^2a/cos^2a
=(cos^2a +sin^2a)/cos^2a
=1/cos^2a
=sina/(sinacos^2a)
=sina/(cosa ×sinacosa)
=tana/(sinacosa)
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