question_answer

If \[\theta \] is an acute angle and 4\[\mathbf{cos}\theta \mathbf{+4}\sqrt{\mathbf{3}}\] \[\mathbf{sin}\theta =\mathbf{8}\text{ }\mathbf{sin}\theta \text{ }\mathbf{cos}\theta +2-\sqrt{3}\], then which one among the following is correct?

A)  \[sin \theta =\frac{\sqrt{3}}{2}\] 

B)  \[\cos \theta =\frac{1}{2}\]

C)  \[\theta =30{}^\circ \]             

D)  \[\tan \theta =\sqrt{3}\]

E)  None of these