Теңдеулер жүйесін шешіңіз: cos x · sin 2y = 3/4,; sin x · cos 2y = 1/4.

Жауап нұсқалары

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