If $\pi < \theta < \large\frac{3\pi}{2}$ the expression $\sqrt{4\sin^4\theta+\sin^22\theta}+4\cos^2\big(\large\frac{\pi}{4}-\frac{\theta}{2}\big)$ is equal to

Question

$\begin{array}{1 1}(a)\;2&(b)\;2+4\sin\theta\\(c)\;2-4\sin\theta&(d)\;None\;of\;these\end{array}$