Question

For the rotation –1068°, find the coterminal angle from 0° < < 360°, thequadrant and the reference angle.

Answer 1

SOLUTION

The rotation is;

$-1068^o$

The coterminal angle can be gotten from adding 360 degrees repeatedly,

$-1068+360+360+360=12^o$

The quadrant is the first quadrant. Since 12 is less than 90

The reference angle is the acute angle between the line and the positive x-axis, this is;

$12^o$