Упр.1 ГДЗ Колмогоров 10-11 класс (Алгебра)
Для перевода градусов в радианы используем формулу $$1^\circ=\frac{\pi}{180}$$ рад.
$$45^\circ=45\cdot\frac{\pi}{180}=\frac{\pi}{4}$$
$$36^\circ=36\cdot\frac{\pi}{180}=\frac{\pi}{5}$$
$$180^\circ=180\cdot\frac{\pi}{180}=\pi$$
$$120^\circ=120\cdot\frac{\pi}{180}=\frac{2\pi}{3}$$
$$310^\circ=310\cdot\frac{\pi}{180}=\frac{31\pi}{18}$$
$$360^\circ=360\cdot\frac{\pi}{180}=2\pi$$
$$60^\circ=60\cdot\frac{\pi}{180}=\frac{\pi}{3}$$
$$72^\circ=72\cdot\frac{\pi}{180}=\frac{2\pi}{5}$$
$$270^\circ=270\cdot\frac{\pi}{180}=\frac{3\pi}{2}$$
$$150^\circ=150\cdot\frac{\pi}{180}=\frac{5\pi}{6}$$
$$216^\circ=216\cdot\frac{\pi}{180}=\frac{6\pi}{5}$$
$$90^\circ=90\cdot\frac{\pi}{180}=\frac{\pi}{2}$$
Ответ: а) $$\frac{\pi}{4},\ \frac{\pi}{5},\ \pi$$; б) $$\frac{2\pi}{3},\ \frac{31\pi}{18},\ 2\pi$$; в) $$\frac{\pi}{3},\ \frac{2\pi}{5},\ \frac{3\pi}{2}$$; г) $$\frac{5\pi}{6},\ \frac{6\pi}{5},\ \frac{\pi}{2}$$.
