How do you find an angle between 0 and 2 pi that is coterminal with -19/24 pi express answer in radians?

Sep 21, 2015

$\frac{29}{24} \pi$

Explanation:

To get coterminal angles, you simply have to add or subtract $2 \pi$.

In this problem, we are looking for a coterminal angle that is between $0$ and $2 \pi$, so we will add $2 \pi$ to $- \frac{19}{24} \pi$.

$- \frac{19}{24} \pi + 2 \pi$
$= - \frac{19}{24} \pi + \frac{48}{24} \pi$
$= \frac{29}{24} \pi$

$\frac{29}{24} \pi$ is the answer to the question.