1. Convert from degrees to radians. The formula to convert degrees to radians is: $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$ (a) For 300°: $$300 \times \frac{\pi}{180} = \frac{300\pi}{180} = \frac{5\pi}{3}$$ (b) For -18°: $$-18 \times \frac{\pi}{180} = \frac{-18\pi}{180} = \frac{-\pi}{10}$$ 2. Convert from radians to degrees. The formula to convert radians to degrees is: $$\text{degrees} = \text{radians} \times \frac{180}{\pi}$$ (a) For $\frac{5\pi}{6}$: $$\frac{5\pi}{6} \times \frac{180}{\pi} = \frac{5 \times 180}{6} = 150^\circ$$ (b) For 2 radians: $$2 \times \frac{180}{\pi} = \frac{360}{\pi} \approx 114.59^\circ$$ Final answers: 1.(a) $\frac{5\pi}{3}$ radians 1.(b) $-\frac{\pi}{10}$ radians 2.(a) $150^\circ$ 2.(b) $114.59^\circ$ (approximate)