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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If cos⁡x−cot⁡βsin⁡x2=32\cos x-\frac{\cot \beta \sin x}{2}=\frac{\sqrt{3}}{2}, then the value of tan⁡x2\tan \frac{x}{2} is
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Correct option: A
tan⁡β2tan⁡15∘\tan \frac{\beta}{2} \tan 15^{\circ}
Option A (tan⁡β2tan⁡15∘\tan \frac{\beta}{2} \tan 15^{\circ}) is correct because it is derived by solving the given trigonometric equation for tan⁡x2\tan \frac{x}{2}.

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