Question

Prove the Identity Cosec A Sec²A = Cosec A + tan A Sec A​

Answer 1

Explanation:

LHS= cscA sec²A

= ( 1/sinA) (1/cos²A)

= 1/ sinAcos²A

= (cos²A+sin²A)/sinAcos²A

= 1/sinA + sinA/cos²A

= cscA + sinA/cos²A

= cscA + tanA secA

=RHS