Question

cosec^2α+sec^2α=(cosec^2α)(sec^2α)

Answer 1

LHS= cosec^2a+sec^2a
1/sin^2a+1/cos^2a
=> cos^2a+sin^2a/sin^2a*cos^2a
=> 1/sin^2a*cos^2a
=> 1/sin^2a*1/cos^2a
=> (cosec^2a)(sec^2a)=RHS - PROVED.
Hope it helps.