question_answer

If \[\frac{\sin \theta +\cos \theta }{\sin \theta -\cos \theta }=4,\] then find the value of \[{{\sin }^{2}}\theta -{{\cos }^{2}}\theta .\]

A)  \[\frac{9}{34}\]                        

B)  \[\frac{9}{17}\]

C)  \[\frac{8}{17}\]

D)  \[\frac{8}{9}\]

E)  None of these