Prove the following identities : sec^2 A + cosec^2 A = sec^2 A . cosec^2 A

Solving L.H.S. of the equation : As, sin 2 A + cos 2 A = 1 Since, L.H.S. = R.H.S. Hence, proved that sec 2 A + cosec 2 A = sec 2 A . cosec 2 A.

Prove the following identities :
cosec⁴ A - cosec² A = cot⁴ A + cot² A