Mathematics

Mathematics

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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