Решите уравнение \(\sin^2 t-\sqrt{2}\sin t=0.\) \(\pi n, n\in Z\) \(\arcsin \sqrt{2}+2\pi n, \pi-\arcsin \sqrt{2}+2\pi n, n\in Z\) \(\pi k, \arcsin \sqrt{2}+2\pi n, \pi-\arcsin \sqrt{2}+2\pi n, n,k\in Z\) \(\frac{\pi}{2}+\pi n, n\in Z\)
Задание

Решите уравнение \(\sin^2 t-\sqrt{2}\sin t=0.\)

  • \(\pi n, n\in Z\)
  • \(\arcsin \sqrt{2}+2\pi n, \pi-\arcsin \sqrt{2}+2\pi n, n\in Z\)
  • \(\pi k, \arcsin \sqrt{2}+2\pi n, \pi-\arcsin \sqrt{2}+2\pi n, n,k\in Z\)
  • \(\frac{\pi}{2}+\pi n, n\in Z\)