question_answer

The value of \[{{\cos }^{2}}\left( \frac{\pi }{4} \right)+{{\cos }^{4}}\left( \frac{\pi }{6} \right)+si{{n}^{4}}\left( \frac{\pi }{6} \right)+si{{n}^{4}}\left( \frac{\pi }{3} \right)\] is

A) \[\frac{27}{16}\]

B) \[\frac{7}{16}\]

C) \[\frac{5}{16}\]

D) \[\frac{3}{16}\]