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

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Answer 1 · 2017-12-18T11:14:44

$300^@$

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

$-60^@-360^@=-420^@$
$-60^@+360^@=300^@$
$-60^@+720^@=660^@$
The only result between $0^@$ and $360^@$ is $300^@$ .

How do you name an angle between 0^circ0^circ and 360^circ360^circ that is coterminal with the angle -60^circ-60^circ?