If and lies in Quadrant III

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

Problem

If sec⁡θ=−1312\sec\theta=-\dfrac{13}{12} and θ\theta lies in Quadrant III, find tan⁡θ\tan\theta. (a) −512-\dfrac{5}{12} (b) 125\dfrac{12}{5} (c) 512\dfrac{5}{12} (d) 513\dfrac{5}{13}

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