Решите уравнение: \(\sin{x}=-\frac{1}{\sqrt{2}}\) \(-\frac{\pi}{4}+2 \pi k\) и \(-\frac{3\pi}{4}+2 \pi k\) \(,k \in Z\) \(-\frac{\pi}{6}+2 \pi k\) и \(-\frac{5\pi}{6}+2 \pi k\) \(,k \in Z\) \(-\frac{\pi}{3}+2 \pi k\) и \(-\frac{2\pi}{3}+2 \pi k\) \(,k \in Z\) \(\pi k\) \(,k \in Z\) \(2 \pi k\) \(,k \in Z\) \(\frac{\pi}{2}+2\pi k\) и \(-\frac{\pi}{2}+2 \pi k\) \(,k \in Z\)

Задание

Решите уравнение: \(\sin{x}=-\frac{1}{\sqrt{2}}\)

\(-\frac{\pi}{4}+2 \pi k\) и \(-\frac{3\pi}{4}+2 \pi k\) \(,k \in Z\)
\(-\frac{\pi}{6}+2 \pi k\) и \(-\frac{5\pi}{6}+2 \pi k\) \(,k \in Z\)
\(-\frac{\pi}{3}+2 \pi k\) и \(-\frac{2\pi}{3}+2 \pi k\) \(,k \in Z\)
\(\pi k\) \(,k \in Z\)
\(2 \pi k\) \(,k \in Z\)
\(\frac{\pi}{2}+2\pi k\) и \(-\frac{\pi}{2}+2 \pi k\) \(,k \in Z\)