If and lies in the first quadrant

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

Problem

If tan⁡x=34\tan x = \dfrac{3}{4} and xx lies in the first quadrant, determine tan⁡2x\tan 2x. (a) 2425\dfrac{24}{25} (b) 127\dfrac{12}{7} (c) 247\dfrac{24}{7} (d) 724\dfrac{7}{24}

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