(sec²A-1)(1-cosec²A)=-1
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LHS
(sec²A-1)(1-cosec²A)
= (1/cos^2A - 1) (1 - 1/sin^2A)
= (1 - Cis^2A)/cos^2A × (sin^2A - 1)/sin^2A
= (sin^2A/ cos^2A) × ( - cos^2A / sin^2A)
= -1
= RHS prove
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