Распредели элементы

Реши уравнения и составь серии корней:

а) \(\sin x = -\dfrac{1}{2}\) ;

б) \(\cos x = -1\) .

Ответ:

а)

• \(2\pi k\)
• \(-\cfrac{\pi}{6}\)
• \(\cfrac{5\pi}{6}\)
• \(\cfrac{7\pi}{6}\)
• \(\pi k\)
• \(-\cfrac{\pi}{2}\)
• \(\pi n\)
• \(2\pi n\)

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

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

б)

• \(2\pi k\)
• \(-\cfrac{\pi}{6}\)
• \(\cfrac{5\pi}{6}\)
• \(\cfrac{7\pi}{6}\)
• \(\pi \)
• \(-\cfrac{\pi}{2}\)
• \(\pi n\)
• \(2\pi n\)

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