Answer the following questions related to trigonometric identities.

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Answer the following questions related to trigonometric identities. (i) State the fundamental trigonometric identity involving sin⁡θ\sin\theta and cos⁡θ\cos\theta. (ii) Derive the identity 1+tan⁡2θ=sec⁡2θ1+\tan^2\theta = \sec^2\theta. (iii) Derive the identity 1+cot⁡2θ=csc⁡2θ1+\cot^2\theta = \csc^2\theta.

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