If and lies in the fourth quadrant

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

If tan⁡θ=−34\tan\theta = -\dfrac{3}{4} and θ\theta lies in the fourth quadrant, determine the value of sin⁡θ+cos⁡θ\sin\theta + \cos\theta. (a) −15-\dfrac{1}{5} (b) 15\dfrac{1}{5} (c) 75\dfrac{7}{5} (d) 11

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