Решите систему уравнений \(\begin{cases} x + y = \pi, & \\ \cos x - cos y = 1. & \end{cases}\) . \((\frac{\pi}{3} - 2\pi k; \frac{2\pi}{3} + 2\pi k), (\frac{5\pi}{3} - 2\pi k; -\frac{2\pi}{3} + 2\pi k), k \in Z\) \((\frac{\pi}{3} + 2\pi k; \frac{2\pi}{3} + 2\pi k), (\frac{5\pi}{3} + 2\pi k; -\frac{2\pi}{3} + 2\pi k), k \in Z\) \((\frac{\pi}{6} - 2\pi k; \frac{5\pi}{6} + 2\pi k), (\frac{11\pi}{6} - 2\pi k; -\frac{5\pi}{6} + 2\pi k), k \in Z\) \((\frac{\pi}{6} + 2\pi k; \frac{5\pi}{6} + 2\pi k), (\frac{11\pi}{6} + 2\pi k; -\frac{5\pi}{6} + 2\pi k), k \in Z\)

Задание

Решите систему уравнений \(\begin{cases} x + y = \pi, & \\ \cos x - cos y = 1. & \end{cases}\) .

\((\frac{\pi}{3} - 2\pi k; \frac{2\pi}{3} + 2\pi k), (\frac{5\pi}{3} - 2\pi k; -\frac{2\pi}{3} + 2\pi k), k \in Z\)
\((\frac{\pi}{3} + 2\pi k; \frac{2\pi}{3} + 2\pi k), (\frac{5\pi}{3} + 2\pi k; -\frac{2\pi}{3} + 2\pi k), k \in Z\)
\((\frac{\pi}{6} - 2\pi k; \frac{5\pi}{6} + 2\pi k), (\frac{11\pi}{6} - 2\pi k; -\frac{5\pi}{6} + 2\pi k), k \in Z\)
\((\frac{\pi}{6} + 2\pi k; \frac{5\pi}{6} + 2\pi k), (\frac{11\pi}{6} + 2\pi k; -\frac{5\pi}{6} + 2\pi k), k \in Z\)