1.

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
Answer» D.  \[\tan \theta =\sqrt{3}\]


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