ANSWER
[tex] \frac{5\pi}{3} + 2\pi \: n[/tex]
EXPLANATION
Coterminal angles are angles that have the same terminal side in standard position.
We want find all angles that are coterminal with
[tex] \frac{5\pi}{3} \: \: radians[/tex]
We add or subtract multiples of 2π radians to this angle to obtain all angles that are coterminal with this angle.
The coterminal angles are:
[tex] \frac{5\pi}{3} + 2\pi \: n[/tex]
where n is an integer.
