Решебник по алгебре и начала математического анализа 10 класс Алимов Задание 414

\[\boxed{\mathbf{414.}}\]

\[0,5{^\circ} = \frac{\pi \bullet 0,5}{180} = \frac{\pi}{360}\]

\[36{^\circ} = \frac{\pi \bullet 36}{180} = \frac{\pi}{5}\]

\[159{^\circ} = \frac{\pi \bullet 159}{180} = \frac{53\pi}{60}\]

\[108{^\circ} = \frac{\pi \bullet 108}{180} = \frac{3\pi}{5}\]

\[\frac{5}{6}\pi = \left( \frac{180}{\pi} \bullet \frac{5\pi}{6} \right)^{{^\circ}} = (30 \bullet 5){^\circ} =\]

\[= 150{^\circ}\]

\[\frac{3}{10}\pi = \left( \frac{180}{\pi} \bullet \frac{3\pi}{10} \right)^{{^\circ}} = (18 \bullet 3){^\circ} =\]

\[= 54{^\circ}\]

\[2,5 = \left( \frac{180}{\pi} \bullet 2,5 \right)^{{^\circ}} = \left( \frac{450}{\pi} \right)^{{^\circ}}\]

\[1,8 = \left( \frac{180}{\pi} \bullet 1,8 \right)^{{^\circ}} = \left( \frac{324}{\pi} \right)^{{^\circ}}\]