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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
The number of solutions of sin⁡  x=sin⁡  2x\sin \,\,x = \sin \,\,2x between −π2\frac{{ - \pi }}{2} and π2\frac{\pi }{2} is
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Correct option: A
3
The correct answer is A (3) because solving the trigonometric equation sin⁡x=sin⁡2x\sin x = \sin 2x within the given interval yields three solutions: 0, π3\frac{\pi}{3}, and −π3-\frac{\pi}{3}.

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