question_answer

If \[\theta \] is an acute angle such that \[{{\tan }^{2}}\theta =\frac{8}{7},\]  then the value of \[\frac{(1+sin\theta )\,\,(1-sin\theta )}{(1+cos\theta )\,\,(1-cos\theta )}\] is:

A)  \[\frac{7}{8}\] 

B)  \[\frac{8}{7}\]

C)  \[\frac{7}{4}\]                         

D)  \[\frac{64}{49}\]

E)  None of these