Evaluate for .

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Evaluate Q=sin⁡(60∘+θ)−sin⁡(60∘−θ)cos⁡(60∘+θ)+cos⁡(60∘−θ)Q=\dfrac{\sin(60^{\circ}+\theta)-\sin(60^{\circ}-\theta)}{\cos(60^{\circ}+\theta)+\cos(60^{\circ}-\theta)} for 0∘<θ<30∘0^{\circ}<\theta<30^{\circ}. (a) 11 (b) tan⁡θ\tan\theta (c) cot⁡θ\cot\theta (d) 13 tan⁡θ\dfrac{1}{\sqrt3}\,\tan\theta

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