Let with . Evaluate…

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

Problem

Let tan⁡α=34\tan \alpha = \dfrac{3}{4} with 0<α<π20<\alpha<\dfrac{\pi}{2}. Evaluate sin⁡α+cos⁡αsin⁡α−cos⁡α\dfrac{\sin \alpha + \cos \alpha}{\sin \alpha - \cos \alpha}. (a) 34\dfrac{3}{4} (b) −7-7 (c) 77 (d) 17\dfrac{1}{7}

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