For an acute angle ,

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

Problem

For an acute angle θ\theta, tan⁡θ=23\tan\theta = \dfrac{2}{3}. What is the value of sec⁡θ−csc⁡θ\sec\theta - \csc\theta? (a) 136\dfrac{\sqrt{13}}{6} (b) 5136\dfrac{5\sqrt{13}}{6} (c) −136-\dfrac{\sqrt{13}}{6} (d) −135-\dfrac{\sqrt{13}}{5}

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