MCQ
જો ${\sin ^{ - 1}}\frac{3}{5} + {\cos ^{ - 1}}\left( {\frac{{12}}{{13}}} \right) = {\sin ^{ - 1}}C,$ તો $C =$
- A$\frac{{65}}{{56}}$
- B$\frac{{24}}{{65}}$
- C$\frac{{16}}{{65}}$
- ✓$\frac{{56}}{{65}}$
$ \Rightarrow C = \sin \left( {{{\sin }^{ - 1}}\frac{3}{5} + {{\cos }^{ - 1}}\frac{{12}}{{13}}} \right)$
using, $\sin (A + B) = \sin A\,\,\cos B + \cos A\,\sin B$
$ \Rightarrow \,\,C = \frac{3}{5} \times \frac{{12}}{{13}} + \sqrt {1 - \frac{9}{{25}}} \sqrt {1 - \frac{{144}}{{169}}} $
$ \Rightarrow C = \frac{{56}}{{65}}$.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.