Find the value of expressed only in terms of .

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

Problem

Find the value of tan⁡2x\tan 2x expressed only in terms of tan⁡x\tan x. (a) 1−tan⁡2x2tan⁡x\displaystyle \frac{1-\tan^{2}x}{2\tan x} (b) 2tan⁡x1−tan⁡2x\displaystyle \frac{2\tan x}{1-\tan^{2}x} (c) 2tan⁡x1+tan⁡2x\displaystyle \frac{2\tan x}{1+\tan^{2}x} (d) 21−tan⁡2x\displaystyle \frac{2}{1-\tan^{2}x}

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