MCQ
જો $\frac{\pi }{2} < \alpha < \pi ,\,{\rm{ }}\pi < \beta < \frac{{3\pi }}{2};$ $\sin \alpha = \frac{{15}}{{17}}$ અને $\tan \beta = \frac{{12}}{5}$, તો $\sin (\beta - \alpha )$ = . . .
- A$-171/221$
- B$-21/221$
- C$21/221$
- ✓$171/221$
$ \Rightarrow \cos \alpha = \frac{8}{{17}},\sin \beta = \frac{{12}}{{13}}$
and $\cos \beta = - \frac{5}{{13}}$
==> $\pi < \beta < \frac{{3\pi }}{2}$,
$\therefore \cos \beta = - \frac{5}{{13}}$
$\sin (\beta - \alpha ) = \sin \beta \cos \alpha - \cos \beta \sin \alpha $ = $\frac{{171}}{{221}}$.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.