Выразите в радианной мере величины углов: а) 45°, 36°, 180°; б) 120°, 310°, 360°; в) 60°, 72°, 270°; г) 150°, 216°, 90°.

Используем формулу: \(\alpha^\circ=\alpha\cdot\frac{\pi}{180}\).

1. а) \(45^\circ=45\cdot\frac{\pi}{180}=\frac{\pi}{4}\); \(36^\circ=36\cdot\frac{\pi}{180}=\frac{\pi}{5}\); \(180^\circ=\pi\).
2. б) \(120^\circ=120\cdot\frac{\pi}{180}=\frac{2\pi}{3}\); \(310^\circ=310\cdot\frac{\pi}{180}=\frac{31\pi}{18}\); \(360^\circ=2\pi\).
3. в) \(60^\circ=60\cdot\frac{\pi}{180}=\frac{\pi}{3}\); \(72^\circ=72\cdot\frac{\pi}{180}=\frac{2\pi}{5}\); \(270^\circ=270\cdot\frac{\pi}{180}=\frac{3\pi}{2}\).
4. г) \(150^\circ=150\cdot\frac{\pi}{180}=\frac{5\pi}{6}\); \(216^\circ=216\cdot\frac{\pi}{180}=\frac{6\pi}{5}\); \(90^\circ=\frac{\pi}{2}\).

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) \(\frac{5\pi}{6},\frac{6\pi}{5},\frac{\pi}{2}\).