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LHS=(1+1/tan^2A)(1+1/cot^2A)
=(1+cot^2A)(1+tan^2A)
=(cosec^2A)(sec^2A)
=(1/sin^2A)(1/cos^2A)
=(1/sin^2A)(1/1-sin^2A)
=1/(sin^2A)(1-sin^2A)
=1/sin^2A-sin^4A=RHS
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