Реши уравнение {\sin 3x = -\dfrac{1}{2}}. Ответ: \cfrac{2\pi k}{3} -\cfrac{\pi}{18} \cfrac{5\pi}{4} \cfrac{7\pi}{18} \pi k -\cfrac{\pi}{3} \pi n \cfrac{2\pi n}{3} +, n\in\Z; +, k\in\Z.
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Реши уравнение \({\sin 3x = -\dfrac{1}{2}}\) .

Ответ:

  • \(\cfrac{2\pi k}{3}\)
  • \(-\cfrac{\pi}{18}\)
  • \(\cfrac{5\pi}{4}\)
  • \(\cfrac{7\pi}{18}\)
  • \(\pi k\)
  • \(-\cfrac{\pi}{3}\)
  • \(\pi n\)
  • \(\cfrac{2\pi n}{3}\)

[ ] \(+\) [ ], \(n\in\Z;\)

[ ] \(+\) [ ], \(k\in\Z.\)