2A. sin x = -1

Давай решим эти простейшие тригонометрические уравнения: 2A. $\sin x = -1$ $x = -\frac{\pi}{2} + 2\pi k, k \in \mathbb{Z}$ 3A. $\sin x = 0$ $x = \pi k, k \in \mathbb{Z}$ 5A. $\cos x = -1$ $x = \pi + 2\pi k = \pi(1 + 2k), k \in \mathbb{Z}$ 6A. $\cos x = 0$ $x = \frac{\pi}{2} + \pi k, k \in \mathbb{Z}$ 8A. $\sin x = \frac{\sqrt{2}}{2}$ $x = \frac{\pi}{4} + 2\pi k$ или $x = \frac{3\pi}{4} + 2\pi k, k \in \mathbb{Z}$ 9A. $\sin x = \frac{\sqrt{3}}{2}$ $x = \frac{\pi}{3} + 2\pi k$ или $x = \frac{2\pi}{3} + 2\pi k, k \in \mathbb{Z}$ 11A. $\cos x = \frac{\sqrt{2}}{2}$ $x = \pm \frac{\pi}{4} + 2\pi k, k \in \mathbb{Z}$ 12A. $\cos x = \frac{\sqrt{3}}{2}$ $x = \pm \frac{\pi}{6} + 2\pi k, k \in \mathbb{Z}$ 14A. $\sin x = -\frac{\sqrt{2}}{2}$ $x = -\frac{\pi}{4} + 2\pi k$ или $x = -\frac{3\pi}{4} + 2\pi k, k \in \mathbb{Z}$ 15A. $\sin x = -\frac{\sqrt{3}}{2}$ $x = -\frac{\pi}{3} + 2\pi k$ или $x = -\frac{2\pi}{3} + 2\pi k, k \in \mathbb{Z}$ 17A. $\cos x = -\frac{\sqrt{2}}{2}$ $x = \pm \frac{3\pi}{4} + 2\pi k, k \in \mathbb{Z}$ 18A. $\cos x = -\frac{\sqrt{3}}{2}$ $x = \pm \frac{5\pi}{6} + 2\pi k, k \in \mathbb{Z}$ 20A. $\text{tg } x = -1$ $x = -\frac{\pi}{4} + \pi k, k \in \mathbb{Z}$ 21A. $\text{tg } x = 0$ $x = \pi k, k \in \mathbb{Z}$ 23A. $\text{ctg } x = -1$ $x = \frac{3\pi}{4} + \pi k, k \in \mathbb{Z}$ 24A. $\text{ctg } x = 0$ $x = \frac{\pi}{2} + \pi k, k \in \mathbb{Z}$