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Mathematics · 2025

JEE Main · 7 April 2025, Shift 2 · Q14

The number of solutions of the equation cos 2 θ cos (θ)/2+ cos (5 θ)/2=2 cos^3 (5 θ)/2 in [-(π)/2, (π)/2] is:

The number of solutions of the equation $\displaystyle \cos 2 \theta \cos \frac{\theta}{2}+\cos \frac{5 \theta}{2}=2 \cos ^3 \frac{5 \theta}{2}$ in $\displaystyle \left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$ is:
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.