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Реши уравнение \({\sin 6x + \sin 10x + \sin 4x + \sin 8x = 0}\) и составь серии корней.

Ответ:

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

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

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

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