Let $|\cos \theta \cos (60-\theta) \cos (60+\theta)| \leq \frac{1}{8}, \theta \in[0,2 \pi]$. Then, the sum of all $\theta \in[0,2 \pi]$, where $\cos 3 \theta$ attains its maximum value, is [JEE Main 2024, 9 Apr (Shift 1)]

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Let \(|\cos \theta \cos (60-\theta) \cos (60+\theta)| \leq \frac{1}{8}, \theta \in[0,2 \pi]\). Then, the sum of all \(\t…

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