question_answer

If \[\cos \theta =\frac{1}{\sqrt{2}},\] then \[\frac{\sin \theta \cos \theta +{{\sin }^{2}}\theta +\cos \theta }{\sin \theta \cos \theta +{{\cos }^{2}}\theta -\cos \theta }\] is equal to :

A)  1                                

B)  \[-\,1\]

C)  \[\sqrt{2}\]                               

D)  \[\frac{\sqrt{2}+1}{\sqrt{2}-1}\]

E)  None of these