A Level

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

Problem

Simplify sin⁡(θ+30∘)+sin⁡(θ−30∘)cos⁡(θ+30∘)−cos⁡(θ−30∘)\dfrac{\sin(\theta+30^{\circ})+\sin(\theta-30^{\circ})}{\cos(\theta+30^{\circ})-\cos(\theta-30^{\circ})}. (a) cot⁡θ\cot\theta (b) −3-\sqrt{3} (c) 3\sqrt{3} (d) tan⁡θ\tan\theta

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