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