\(\arcsin 1 = \frac{\pi}{2}\)
\(\arcsin \frac{1}{2} = \frac{\pi}{6}\)
\(\arcsin \left(-\frac{\sqrt{3}}{2}\right) = -\frac{\pi}{3}\)
\(\frac{\pi}{2} - \frac{\pi}{6} - \frac{\pi}{3} = \frac{3\pi - \pi - 2\pi}{6} = 0\)