Реши уравнение {\sin \left(x+\dfrac{\pi}{4}\right)= -\dfrac{1}{2}}. Ответ: 2\pi k -\cfrac{\pi}{12} \cfrac{\pi}{6} \cfrac{7\pi}{12} \pi k -\cfrac{\pi}{4} \pi n 2\pi n +, n\in\Z; +, k\in\Z.
Задание

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Реши уравнение \({\sin \left(x+\dfrac{\pi}{4}\right)= -\dfrac{1}{2}}\) .

Ответ:

  • \(2\pi k\)
  • \(-\cfrac{\pi}{12}\)
  • \(\cfrac{\pi}{6}\)
  • \(\cfrac{7\pi}{12}\)
  • \(\pi k\)
  • \(-\cfrac{\pi}{4}\)
  • \(\pi n\)
  • \(2\pi n\)

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

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