The value of $\sqrt{\large\frac{1-\sin\theta}{1+\sin\theta}}$ is equal to

Question

$\begin{array}{1 1}(a)\;\left\{\begin{array}{1 1}\sec\theta-\tan\theta,&if\;-\large\frac{\pi}{2}\;< \theta\;<\large\frac{\pi}{2}\\-\sec\theta+\tan\theta&if\;\large\frac{\pi}{2}\; <\theta<\large\frac{3\pi}{2}\end{array}\right.\\(b)\;\left\{\begin{array}{1 1}\sec\theta-\tan\theta,&if\;-\large\frac{3\pi}{2}\;< \theta\;<\large\frac{\pi}{2}\\-\sec\theta+\tan\theta&if\;\large\frac{\pi}{2}\; <\theta<\large\frac{3\pi}{2}\end{array}\right.\\(c)\;\left\{\begin{array}{1 1}\sec\theta-\tan\theta,&if\;\large\frac{\pi}{2}\;< \theta\;<\large\frac{3\pi}{2}\\-\sec\theta+\tan\theta&if\;\large\frac{\pi}{2}\; <\theta<\large\frac{3\pi}{2}\end{array}\right.\\(d)\;None\;of\;these\end{array}$