Which of the following is the correct identity for ?

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Which of the following is the correct identity for tan⁡2θ\tan 2\theta? (a) 2tan⁡θ1+tan⁡2θ\dfrac{2\tan\theta}{1+\tan^{2}\theta} (b) 1−tan⁡2θ2tan⁡θ\dfrac{1-\tan^{2}\theta}{2\tan\theta} (c) 2tan⁡θ1−tan⁡2θ\dfrac{2\tan\theta}{1-\tan^{2}\theta} (d) 2tan⁡θ (1−tan⁡2θ)2\tan\theta\,(1-\tan^{2}\theta)

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