How to Find Reference Angles?

Step 1

Identify the angle’s quadrant

Step 2

Find the angle’s distance from the x-axis

Step 3

For Quadrant I, the reference angle is the angle itself

Step 4

For Quadrant II, subtract the angle from 180°

Step 5

For Quadrant III, subtract 180° from the angle

Step 6

For Quadrant IV, subtract the angle from 360°

Step 7

For angles greater than 360°, subtract or add 360° until the angle is between 0° and 360°

Step 8

For negative angles, add 360° until the angle is between 0° and 360°

Step 9

Use the resulting acute angle as the reference angle

More like this