(Sec^2 A-1)(Cosec^2 A-1)=1
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LHS=(Sec^2 A-1)(Cosec^2 A-1)
=Tan^2A X Cot^2A
=Sin^2A/Cos^2A X Cos^2A/Sin^2A
=1=RHS
Hence Proved.
HOPE THIS HELPS YOU
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