2. Решите уравнения: a) sint =$$\frac{1}{2}$$; 6) cos t = -$$\frac{\sqrt{3}}{2}$$.

2. Решите уравнения:

a) $$sin t = \frac{1}{2}$$.

$$t = (-1)^n arcsin \frac{1}{2} + \pi n, n \in Z$$

$$t = (-1)^n \frac{\pi}{6} + \pi n, n \in Z$$

б) $$cos t = -\frac{\sqrt{3}}{2}$$.

$$t = \pm arccos(-\frac{\sqrt{3}}{2}) + 2\pi n, n \in Z$$

$$t = \pm (\pi - arccos(\frac{\sqrt{3}}{2})) + 2\pi n, n \in Z$$

$$t = \pm (\pi - \frac{\pi}{6}) + 2\pi n, n \in Z$$

$$t = \pm \frac{5\pi}{6} + 2\pi n, n \in Z$$

Ответ: a) $$t = (-1)^n \frac{\pi}{6} + \pi n, n \in Z$$; б) $$t = \pm \frac{5\pi}{6} + 2\pi n, n \in Z$$.