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sin^2 x + sin^2 x tan^2 x
= sin^2 x ( 1+ tan^2 x)
= sin^2 x (sec^2 x)
= sin^2 x / cos^2 x
= tan^2 x
= RHS (proven)
= sin^2 x ( 1+ tan^2 x)
= sin^2 x (sec^2 x)
= sin^2 x / cos^2 x
= tan^2 x
= RHS (proven)