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It is known that \( \sin \beta=\frac{4}{5} \) and \( 0\beta\pi \), then thes value of \( \frac{\sqrt{3} \sin (\alpha+\beta)-\frac{2}{\cos \frac{11 \pi}{6}} \cos (\alpha+\beta)}{\sin \alpha} \) is
(a) independent of \( \alpha \) for all \( \beta \) in \( (0, \pi) \)
(b) \( \frac{5}{\sqrt{3}} \) for \( \tan \beta0 \)
(c) \( \frac{\sqrt{3}(7+24 \cot \alpha)}{15} \) for \( \tan \beta0 \)
(d) zero for \( \tan \beta0 \)
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