For the identity to be defined

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

For the identity tan⁡2θ=2tan⁡θ1−tan⁡2θ\tan 2\theta = \dfrac{2\tan\theta}{1-\tan^2\theta} to be defined, which of the following conditions on tan⁡θ\tan\theta must hold? (a) tan⁡θ≠0\tan\theta \neq 0 (b) ∣tan⁡θ∣<1|\tan\theta|<1 (c) tan⁡θ≠±1\tan\theta \neq \pm 1 (d) tan⁡θ≠±3\tan\theta \neq \pm\sqrt{3}

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