Given with , calculate…

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

Problem

Given cos⁡x=−35\cos x=-\dfrac{3}{5} with x∈(π/2, π)x\in(\pi/2,\,\pi), calculate tan⁡x\tan x. (a) −34-\dfrac{3}{4} (b) 43\dfrac{4}{3} (c) −43-\dfrac{4}{3} (d) −53-\dfrac{5}{3}

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