Задание

Решите уравнение \({\cos{\left(x+\dfrac{\pi}{6}\right)}=\dfrac{\sqrt{2}}{2}.}\) Выберите вариант ответа.

\({\dfrac{5\pi}{12}+2{\pi}n,n\in{\mathbf{Z}};-\dfrac{\pi}{12}+2{\pi}k,k\in{\mathbf{Z}}}\)

\({\dfrac{5\pi}{12}+2{\pi}n,n\in{\mathbf{Z}};-\dfrac{5\pi}{12}+2{\pi}k,k\in{\mathbf{Z}}}\)

\({\dfrac{\pi}{12}+2{\pi}n,n\in{\mathbf{Z}};-\dfrac{\pi}{12}+2{\pi}k,k\in{\mathbf{Z}}}\)

\({-\dfrac{5\pi}{12}+2{\pi}n,n\in{\mathbf{Z}};\dfrac{\pi}{12}+2{\pi}k,k\in{\mathbf{Z}}}\)