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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
The number of solutions of sin⁡3x=cos⁡2x\sin 3 x=\cos 2 x, in the interval (π2,π)\left(\frac{\pi}{2}, \pi\right) is
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Correct option: D
1
Option D (1) is correct because after simplifying the equation sin⁡3x=cos⁡2x\sin 3x = \cos 2x and considering the interval (π2,π)(\frac{\pi}{2}, \pi), there is only one solution.

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