2. (4 балла) Решите уравнения: 1) \(\(\sqrt[3]{x}\) - 6 = -3; 2) 2 \(\sin\) x = -1;

Решение:

1. \(\sqrt[3]{x} - 6 = -3\)
   \(\sqrt[3]{x} = -3 + 6\)
   \(\sqrt[3]{x} = 3\)
   \(x = 3^3\)
   \(x = 27\)
2. \(2 \sin x = -1\)
   \(\sin x = -\frac{1}{2}\)
   \(x = \pm \frac{\pi}{6} + 2\pi k, k \in \mathbb{Z}\)

Ответ: 1) 27; 2) \(x = \pm \frac{\pi}{6} + 2\pi k, k \in \mathbb{Z}\).