Question

Find the value of $\sin ({\cos }^{-1}\frac{1}{2}+{\sin }^{-1}\frac{\sqrt{3}}{2})$

Answer 1

$\sin ({\cos }^{-1}\frac{1}{2}+{\sin }^{-1}\frac{\sqrt{3}}{2})=\sin (\frac{\pi }{3}+\frac{\pi }{3})=\sin \frac{2\pi }{3}=\frac{\sqrt{3}}{2}$