Prove the following identities : tan^2 A - sin^2 A = tan^2 A. sin^2 A

Solving L.H.S. of the equation : By formula, 1 - cos 2 A = sin 2 A. Since, L.H.S. = R.H.S. Hence, proved that tan 2 A - sin 2 A = tan 2 A. sin 2 A.

Prove the following identities :
sec² A + cosec² A = sec² A . cosec² A