In a \( \triangle A B C, \angle B=\frac{\pi}{3} \) and \( \angle C=...

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In a \( \triangle A B C, \angle B=\frac{\pi}{3} \) and \( \angle C=\frac{\pi}{4} \). Let \( D \) divides \( B C \) internally in the ratio \( 1: 3 \), then \( \frac{\sin \angle B A D}{\sin \angle C A D} \) is equal to
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WV
(a) \( \frac{1}{\sqrt{6}} \)
(b) \( \frac{1}{3} \)
(c) \( \frac{1}{\sqrt{3}} \)
(d) \( \sqrt{\frac{2}{3}} \)
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