For an acute angle ,

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

Problem

For an acute angle θ\theta, cos⁡θ=1213\cos \theta = \dfrac{12}{13}. Evaluate sin⁡2θcos⁡θ+tan⁡θ\dfrac{\sin^{2}\theta}{\cos \theta} + \tan \theta. (a) 25156\dfrac{25}{156} (b) 1526\dfrac{15}{26} (c) 56\dfrac{5}{6} (d) 85144\dfrac{85}{144}

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