question_answer

If \[A=\frac{1}{1+\cos \theta }+\frac{1}{1-\cos \theta }\] and \[B=\frac{1}{1+\sin \theta }+\frac{1}{1-\sin \theta }\] then \[\frac{A}{B}\]  is equal to _______.

A)  \[{{\sin }^{2}}\theta \]            

B)  \[{{\tan }^{2}}\theta \]

C)  \[{{\cot }^{2}}\theta \]

D)  \[{{\cos }^{2}}\theta \]

E)  None of these