Verified answer

[tex] \sin(x) = - \frac{ \sqrt{3} }{2} \\ x = ( - 1) {}^{n} \arcsin( - \frac{ \sqrt{3} }{2} ) + 2n\pi = ( - 1) {}^{n} = ( - 1) {}^{n} \frac{\pi}{3 } +2 n\pi,n∈Z[/tex]

Ответ: (-1)^n*π/3+2πn,n∈Z