If median \( A D \) of a \( \triangle A B C \) divides the angle \( B A C \) in ratio \( 1: 2 \)...

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If median \( A D \) of a \( \triangle A B C \) divides the angle \( B A C \) in ratio \( 1: 2 \), then \( \frac{\sin B}{\sin C} \) is equal to
(A) \( \frac{1}{2} \sec \frac{A}{3} \)
(B) \( \frac{1}{2} \operatorname{cosec} \frac{A}{3} \)
(C) \( \frac{1}{2} \cos \frac{A}{3} \)
(D) None of these
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