sec^2x - cosec^2x= tan^2 x-cot^2 x
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Use the identities sec^2 (x) = tan^2 (x) + 1 and csc^2 (x) = 1 + cot^2 (x), both are derived from the pythagorean identity of 1 = sin^2 (x) + cos^2 (x) by dividing through by either sin2 or cos2 .
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