question_answer

The value of \[{{\cos }^{2}}30{}^\circ \,\,{{\cos }^{2}}45{}^\circ +4{{\sec }^{2}}60{}^\circ +\frac{1}{2}\,{{\cos }^{2}}90{}^\circ -2{{\tan }^{2}}60{}^\circ \]  is:

A)  \[\frac{10}{3}\]                        

B)  \[\frac{83}{8}\]

C)  \[\frac{79}{8}\]                        

D)  \[\frac{59}{9}\]

E)  None of these