Решите уравнение: \(\sin 3x=1\) .

• \(x=\frac{\pi}{6}+\frac{2\pi n}{3}, n\in \mathbb{Z}\)
• \(x=\frac{\pi}{2}+2\pi n, n\in \mathbb{Z}\)
• \(x=\frac{2\pi n}{3}, n\in \mathbb{Z}\)
• \(x=\frac{\pi}{6}+2\pi n, n\in \mathbb{Z}\)