1+tan^2a/1+cot^2a=sin^2a/cos^2a
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LHS
1+tan^2a / 1+cot^2a
=sec^2a / cosec^2a
( 1+tan^2a = sec^2a and 1+cot^2a = cosec^2a)
= sin^2a / cos^2a
( 1/coseca = sina and 1/seca = cosa)
= RHS..
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