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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If ∣sin⁡xcos⁡xcos⁡xcos⁡xsin⁡xcos⁡xcos⁡xcos⁡xsin⁡x∣=0\left|\begin{array}{lll}\sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & \cos x & \sin x\end{array}\right|=0, then the number of distinct real roots of this equation in the interval −π/2<x<π/2-\pi / 2 < x < \pi / 2 is
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Correct option: C
2
Option C (2) is correct because solving the determinant equation leads to two distinct real roots within the given interval.

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