How do you name an angle between 0^circ and 360^circ that is coterminal with the angle -60^circ?

Dec 18, 2017

${300}^{\circ}$

Explanation:

If the result must have the same terminal side, we can simply add or subtract one full rotation (${360}^{\circ}$) repeatedly.

$- {60}^{\circ} - {360}^{\circ} = - {420}^{\circ}$
$- {60}^{\circ} + {360}^{\circ} = {300}^{\circ}$
$- {60}^{\circ} + {720}^{\circ} = {660}^{\circ}$
The only result between ${0}^{\circ}$ and ${360}^{\circ}$ is ${300}^{\circ}$.