Теңдеулер жүйесін шешіңіз: x + y = (3π)/2,; sin x + sin y = (1 + √3)/2.

Жауап нұсқалары

1. A.$\left( \frac{3\pi}{4} + \arccos\frac{\sqrt{2}+\sqrt{6}}{4} + 2\pi k,\; \frac{3\pi}{4} - \arccos\frac{\sqrt{2}+\sqrt{6}}{4} + 2\pi k \right),\quad k \in \mathbb{Z}$дұрыс
2. B.$\left( -\frac{\pi}{2} + 2\pi n,\; -\frac{\pi}{4} + 2\pi n,\; \frac{\pi}{2} + 2\pi n \right),\quad n \in \mathbb{Z}$
3. C.$\left( \frac{\pi}{4} + \pi n - (-1)^k \frac{\pi}{12} - \frac{\pi k}{2},\; (-1)^k \frac{\pi}{24} + \frac{\pi k}{4} + \frac{\pi}{8} + \frac{\pi n}{2} \right),\quad n,k \in \mathbb{Z}$
4. D.$\left( -\frac{\pi}{2} + 2\pi n,\; -\frac{\pi}{4} + 2\pi n \right),\quad n \in \mathbb{Z}$