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Reference Angle

How to find the positive acute reference angle

The reference angle is the positive acute angle that can represent an angle of any measure. Basically, any angle on the x-y plane has a reference angle, which is always between 0 and 90 degrees. The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis. A refrerence angle always uses the x-axis as its frame of rerence.

Rules of Angles and Reference angle



Positive angles go in a counter clockwise direction. Below is a picture of a positive fifty degree angle

Reference Angles in Quadrant II

What is the reference angle for the angle in the graph below?
Answer

What is the reference angle for a 210° angle?
Answer

What is the reference angle for a 300° angle?
Answer


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