Given and acute

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

Problem

Given tan⁡θ=34\tan \theta = \dfrac34 and θ\theta acute, calculate sin⁡θ+cos⁡θsin⁡θcos⁡θ\dfrac{\sin \theta + \cos \theta}{\sin \theta \cos \theta}. (a) 712\dfrac{7}{12} (b) 2512\dfrac{25}{12} (c) 3512\dfrac{35}{12} (d) 1235\dfrac{12}{35}

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