Распредели элементы

Реши уравнения и составь серии корней:

а) \(\cos x = -\dfrac{\sqrt2}{2}\) ;

б) \(\sin x = 0\) .

Ответ:

а)

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

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

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

б)

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

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