To begin verifying the identity

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

To begin verifying the identity 11+tan⁡2θ=cos⁡2θ\dfrac{1}{1+\tan^2\theta}= \cos^2\theta, which fundamental trigonometric identity should be applied first to transform the left-hand side? (a) tan⁡θ=sin⁡θcos⁡θ\tan\theta = \dfrac{\sin\theta}{\cos\theta} (b) sec⁡2θ−tan⁡2θ=1\sec^2\theta - \tan^2\theta = 1 (c) 1+tan⁡2θ=sec⁡2θ1+\tan^2\theta = \sec^2\theta (d) sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1

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