For an acute angle satisfying

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

Problem

For an acute angle θ\theta satisfying tan⁡θ=12\tan\theta=\dfrac{1}{2}, determine tan⁡3θ\tan 3\theta. (a) −112-\dfrac{11}{2} (b) 112\dfrac{11}{2} (c) 118\dfrac{11}{8} (d) 116\dfrac{11}{6}

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