1.

Prove the following identities:(i) (1 + cot⁡ θ - cosec θ)(1 + tan⁡ θ + sec⁡ θ) = 2(ii) tan^2⁡ θ + cot^2⁡ θ + 2 = sec^2⁡ θ cosec^2 θ(iii) √(sec^2⁡ θ + cosec^2 θ) = tan⁡ θ + cot⁡θ

Answer» Prove the following identities:
(i) (1 + cot⁡ θ - cosec θ)(1 + tan⁡ θ + sec⁡ θ) = 2
(ii) tan^2⁡ θ + cot^2⁡ θ + 2 = sec^2⁡ θ cosec^2 θ
(iii) √(sec^2⁡ θ + cosec^2 θ) = tan⁡ θ + cot⁡θ


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