If $A,B,C$ are the interior angles of a triangle $ABC$, then $\tan \bigg(\large\frac{B+C}{2} \bigg)$$=_____

Question

$\begin{array}{1 1}(A) \; \cot A \\(B)\; \tan A \\(C)\;\cot \large\frac{A}{2} \\(D)\;\tan \large\frac{A}{2} \end{array}$