Mathematics

Mathematics

Problem

For an acute angle θ\theta, it is known that tan⁡θ=724\tan \theta = \dfrac{7}{24}. a. (i) Find sin⁡θ\sin \theta and cos⁡θ\cos \theta in their simplest fractional forms. b. (ii) Using the results of part (i), evaluate sin⁡θ+cos⁡θsin⁡θ−cos⁡θ\dfrac{\sin \theta + \cos \theta}{\sin \theta - \cos \theta}. Express your answer as a rational number.

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