Question
यदि $\frac{\pi }{2} < \alpha < \pi ,\,{\rm{ }}\pi < \beta < \frac{{3\pi }}{2};$ $\sin \alpha = \frac{{15}}{{17}}$ तथा $\tan \beta = \frac{{12}}{5}$, तब $\sin (\beta - \alpha )$ का मान होगा
$ \Rightarrow \cos \alpha = - \frac{8}{{17}},\sin \beta = - \frac{{12}}{{13}}$ एवं $\cos \beta = - \frac{5}{{13}}$
$\pi < \beta < \frac{{3\pi }}{2}$ ,
$\therefore \cos \beta = - \frac{5}{{13}}$]
$\sin (\beta - \alpha ) = \sin \beta \cos \alpha - \cos \beta \sin \alpha $ = $\frac{{171}}{{221}}$.
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