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sin^2 theta / cos ^2 theta + cos ^2 theta / sin ^2 theta = tan^2 theta + cot ^2 theta
= 1 - sec^2 theta + 1 - cosec ^2 theta
( tan^2theta = 1- sec^2 theta and cot^2theta = 1 - cosec^2 theta )
= 2 - sec^2 theta - cosec^2 theta
= Sec^2 theta + cosec^2 theta - 2
Lhs = Rhs
= 1 - sec^2 theta + 1 - cosec ^2 theta
( tan^2theta = 1- sec^2 theta and cot^2theta = 1 - cosec^2 theta )
= 2 - sec^2 theta - cosec^2 theta
= Sec^2 theta + cosec^2 theta - 2
Lhs = Rhs
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