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Question Id : 17998 | Context : JEE Main 2026 (23 January Morning Shift)
Let $\alpha$ and $\beta$ respectively be the maximum and the minimum values of the function

$f(\theta) = 4\left(\sin^4\left(\frac{7\pi}{2} - \theta\right) + \sin^4(11\pi + \theta)\right) - 2\left(\sin^6\left(\frac{3\pi}{2} - \theta\right) + \sin^6(9\pi - \theta)\right),; \theta \in \mathbb{R}.$

Then $\alpha + 2\beta$ is equal to:


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