Задание

Реши уравнение и выбери все решения

\(\sqrt{2}\sin x-1=0\) .

  • \(x=(-1)^n\cfrac{\pi }{4}+2\pi n, n\in \Z\)
  • \(x=(-1)^n\cfrac{\pi }{4}+\pi n, n\in \Z\)
  • \(x=\cfrac{\pi }{4}+2\pi n, n\in \Z\)
  • \(x=\cfrac{\pi }{4}+\pi n, n\in \Z\)

\(\tg \cfrac{x}{2}-\sqrt{3}=0\) .

  • \(x=\cfrac{2\pi}{3}+\pi n, n \in \Z\)
  • \(x=\cfrac{2\pi}{3}+2\pi n, n \in \Z\)
  • \(x=\cfrac{2\pi}{3}+\pi n + \cfrac{\pi n}{2}, n \in \Z\)
  • \(x=-\cfrac{2\pi}{3}+\pi n + 2\pi n, n \in \Z\)