Prove that
\[
\sqrt{\frac{1+\sin \theta}{1-\sin \theta}}=\left\{\be...
Prove that
\[
\sqrt{\frac{1+\sin \theta}{1-\sin \theta}}=\left\{\begin{array}{l}
\sec \theta+\tan \theta ; \text { if }-\frac{\pi}{2}\theta\frac{\pi}{2} \\
-\sec \theta-\tan \theta ; \text { if } \frac{\pi}{2}\theta\frac{3 \pi}{2}
\end{array}\right.
\]
\( \mathrm{W} \)
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