Question

For the rotation -589°, find the coterminal angle from 0° < O < 360°, the quadrant and the reference angle.

Answer 1

`\begin{gathered} |-589\text{\degree\mid-360\degree=229\degree} \\ 229\text{\degree-180\degree=49\degree} \\ Hence \\ 180\text{\degree-49\degree=131\degree} \\ The\text{ coterminal angle is 131\degree and it is at second quadrant. Reference angle} \\ 49\text{ \degree} \end{gathered}`