Let \(\alpha\) and \(\beta\) respectively be the maximum and the minimum values of the function \( f(\theta)=4\left(\sin…

Let \(\alpha\) and \(\beta\) respectively be the maximum and the minimum values of the function

\( f(\theta)=4\left(\sin ^4\left(\frac{7 \pi}{2}-\theta\right)+\sin ^4(11 \pi+\theta)\right) -2\left(\sin ^6\left(\frac{3 \pi}{2}-\theta\right)+\sin ^6(9 \pi-\theta)\right)\). Then \(\alpha +2\beta\) is equal to: