Mathematics

Mathematics

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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