Распредели элементы

Реши уравнения.

а) \(\sin x = \dfrac{1}{2}\) .

б) \(\cos x = \dfrac{\sqrt2}{2}\) .

Ответ.

а)

• \(2\pi k\)
• \(\cfrac{\pi}{6}\)
• \(\cfrac{5\pi}{4}\)
• \(\cfrac{5\pi}{6}\)
• \(\pi k\)
• \(-\cfrac{\pi}{8}\)
• \(\pi n\)
• \(2\pi n\)

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

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

б)

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

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

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