Распредели элементы

Реши уравнения.

а) \(\cos x = \dfrac{1}{2}\) .

б) \(\sin x = \dfrac{\sqrt2}{2}\) .

Ответ.

а)

• \(2\pi k\)
• \(-\dfrac{\pi}{3}\)
• \(\dfrac{5\pi}{6}\)
• \(\dfrac{\pi}{3}\)
• \(\pi k\)
• \(-\dfrac{\pi}{2}\)
• \(\pi n\)
• \(2\pi n\)

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

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

б)

• \(2\pi k\)
• \(\dfrac{\pi}{4}\)
• \(\dfrac{-5\pi}{6}\)
• \(\dfrac{3\pi}{4}\)
• \(\pi k\)
• \(-\dfrac{\pi}{6}\)
• \(\pi n\)
• \(2\pi n\)

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

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