MCQMediumJEE Main 2025 · 7 April, Shift 2Trigonometric Equations

Mathematics Question from JEE Main 2025 · 7 April, Shift 2

The number of solutions of the equation cos2θcos(θ2)+cos(5θ2)=2cos3(5θ2)\cos 2\theta \cos \left( \frac{\theta}{2} \right) + \cos \left( \frac{5\theta}{2} \right) = 2 \cos^3 \left( \frac{5\theta}{2} \right) in the interval [π2,π2]\left[ -\frac{\pi}{2}, \frac{\pi}{2} \right] is:

  • A

    77

  • B

    55

  • C

    66

  • D

    99

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