Задание

Вычислите \(\cos{(\frac{\pi}{3}-\alpha)},\) если \(\cos{\alpha}=-\frac{1}{3}\) и \(\pi<\alpha<\frac{3\pi}{2}.\)

\(-\frac{1+2\sqrt{6}}{6}\)

\(\frac{1+2\sqrt{6}}{6}\)

\(\frac{1-2\sqrt{6}}{6}\)

\(\frac{2\sqrt{6}-1}{6}\)