$$\eqalign{ {\text{Вычислите:}} \hfill \\ \prod\limits_{k = 1}^{2018} {\cos \frac{{\pi k}}{{2019}}} \hfill \\ } $$

\[\begin{array}{l} \sqrt[3]{{\cos \frac{{2\pi }}{7}}} + \sqrt[3]{{\cos \frac{{4\pi }}{7}}} + \sqrt[3]{{\cos \frac{{8\pi }}{7}}} = \sqrt[3]{{\frac{{5 - 3\sqrt[3]{7}}}{2}}} \hfill \\ \sqrt[3]{{\cos \frac{{2\pi }}{9}}} + \sqrt[3]{{\cos \frac{{4\pi }}{9}}} + \sqrt[3]{{\cos \frac{{8\pi }}{9}}} = \sqrt[3]{{\frac{{3\sqrt[3]{9} - 6}}{2}}} \hfill \\ \end{array}\]

\[{\text{Вычислите: }}\sqrt[3]{{{{\operatorname{tg} }^{10}}\frac{\pi }{5}}} + \sqrt[3]{{{{\operatorname{tg} }^{10}}\frac{{2\pi }}{5}}}.\]