Question

Prove the following identities:

cot² x – tan² x = 4 cot 2x cosec 2x

Answer 1

To prove: cot² x – tan² x = 4 cot 2x cosec 2x

Proof:

Take LHS:

cot² x – tan² x

Identities used:

a² – b² = (a – b)(a + b)

Therefore,