Prove each of the following identities:
(1 – cos2 θ)cosec2 θ = 1
Consider the left – hand side:
L.H.S. = (1 – cos2θ) × cosec2θ
= (sin2θ) × cosec2θ (∵ sin2θ + cos2 θ = 1)
= 1
= R.H.S.
Hence, proved.