If {\m} and {\n} respectively are the numbers of positive and negative value of \theta in the interval [-\pi, \pi] that satisfy the equation \cos 2 \theta \cos \frac{\theta}{2}=\cos 3 \theta \cos \frac{9 \theta}{2}, then {mn} is equal to ________. [25-Jan-2023 Shift 2]

JEE Mains 25-Jan-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 85 of 90

Marks: +1, -0

If m and n respectively are the numbers of positive and negative value of θ in the interval [−π,π] that satisfy the equation cos‌2‌θ‌cos‌

=cos‌3‌θ‌cos‌

9θ

, then mn is equal to ________.

[25-Jan-2023 Shift 2]

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