Enter your angle and quadrant details into the calculator to find your reference angle.

## Reference Angle Calculation Formula

The following formula is used to find the reference angle based on the given quadrant and angle.

Reference Angle = 180° - |Angle| (if in Quadrant II)

Reference Angle = |Angle| - 180° (if in Quadrant III)

Reference Angle = 360° - |Angle| (if in Quadrant IV)

Variables:

- Reference Angle is the smallest angle between the terminal side of the given angle and the x-axis (°)
- Angle is the original angle given (°)

To calculate the reference angle, determine the quadrant of the angle and apply the respective formula.

## What is Reference Angle Calculation?

Reference angle calculation is a method to find the smallest angle between the terminal side of an angle and the x-axis. This concept is crucial in trigonometry as it simplifies the process of evaluating trigonometric functions for any given angle. Understanding how to calculate the reference angle helps in solving complex trigonometric problems more efficiently.

## How to Calculate Reference Angle?

The following steps outline how to calculate the reference angle using the given formulas.