Question

Prove that cosec²x - tan²(90-x)=sin²x + sin^2(90-x)

Answer 1

cosec^2 A - tan^2 (90-A)= cosec^2 A - cot^2 A
=> 1 ---------(i)

sin^2 A - sin^2 (90-A) = sin^2 A - cos^A
=> 1 ----------(ii)

From (i) and (ii)
LHS = RHS

Hope this will help you!!!