We are given the following expression:
[tex]y=arcsin(\frac{-\sqrt{3}}{2})[/tex]The general solution is of the form:
[tex]y=*\pm2\pi k[/tex]The first, number is the first solution to the expression which is:
[tex]arcsin(\frac{-\sqrt{3}}{2})=\frac{4\pi}{3}[/tex]Therefore, the solution is:
[tex]y=\frac{4\pi}{3}\pm2\pi k[/tex]The other possible solution is:
[tex]arcs\imaginaryI n(\frac{-\sqrt{3}}{2})=\frac{5\pi}{3}[/tex]Therefore, the other possible solution is:
[tex]y=\frac{5\pi}{3}\pm2\pi k[/tex]