Prove the following identities.

Consider LHS,
LHS = ![]()
We know that cosec2θ – cot2θ = 1.
⇒
= ![]()
We know that (a + b) (a – b) = a2 – b2.
⇒
= ![]()
= ![]()
= ![]()
= cosecθ + cotθ = RHS
Hence proved.
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