Задание

Решите уравнение \(\sin x = \frac{1}{2}\) .

\(x = \frac{\pi}{6} + 2\pi n, n\in \mathbb{Z}; x = \frac{5\pi}{6} + 2\pi k, k\in \mathbb{Z}\)

\(x = \frac{\pi}{6} + 2\pi n, n\in \mathbb{Z}\)

\(x = -\frac{\pi}{6} + 2\pi n, n\in \mathbb{Z}; x = \frac{\pi}{6} + 2\pi k, k\in \mathbb{Z}\)

\(x = \frac{\pi}{6} + \pi n, n\in \mathbb{Z}\)