Answer:
quadrant 3
-523.7747
Step-by-step explanation:
We know that a radian is a measure of the distance to a point on the circle. We have four quadrants. In each quadrant you will have one radian. Therefore -6 radian will be in the third quadrant.
The reference angle will be the angle in the third quadrant subtract from 180:
We can convert radians to degrees. 1 radian is 57.3 degrees.
Therefore 6 radians:
[tex]=-6\cdot{57.3}=-343.7747[/tex]
Therefore the reference angle is:
[tex]=-343.7747-180=-523.7747[/tex]
