Question

Consider the angle -6 radians. Determine the quadrant in which the terminal side of the angle is found and find the corresponding reference angle ¯ θ . Round the reference angle to 4 decimal places.

Answer 1

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:

$=-6\cdot{57.3}=-343.7747$

Therefore the reference angle is:

$=-343.7747-180=-523.7747$