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JEE Math Practice Question

The number of solutions of the equation $ \cos 2\theta \cos \frac{\theta}{2} + \cos \frac{5\theta}{2} = 2\cos^3 \frac{5\theta}{2} $ in $ \left[ -\frac{\pi}{2}, \frac{\pi}{2} \right] $ is :

  1. A.5
  2. B.7
  3. C.6
  4. D.9

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