Question

Решите уравнение 2cos x/6=корень из 3​

Answer 1

$\displaystyle\bf\\2Cos\frac{x}{6} =\sqrt{3} \\\\\\Cos\frac{x}{6} =\frac{\sqrt{3} }{2} \\\\\\\frac{x}{6} =\pm \ arcCos\frac{\sqrt{3} }{2} +2\pi n,n\in Z\\\\\\\frac{x}{6} =\pm \ \frac{\pi }{6} +2\pi n,n\in Z\\\\\\x=\pm \ \pi +12\pi n,n\in Z$