Reference Angle Calculator

Calculate the acute version of an angle, also known as the reference angle. This reference angle calculator will also determine the quadrant it lies in.

The reference angle is the smallest angle found between a known angle and the x axis, and is always positive. Below is an example of what this looks like.

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Reference angles are typically used in trigonometric theorem problems. They help solve proofs for the trig functions. In general, when someone is looking for a reference angle, they have a given angle theta to start with. The key to solving a reference angle is to understand which quadrant the angle lies in.

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