Find the reference angle for each angle.
23π/4

Key Concepts

Reference Angle

The reference angle is the acute angle formed by the terminal side of a given angle and the x-axis. It is always measured as a positive angle and is typically between 0 and π/2 radians. For angles greater than 2π, the reference angle helps simplify trigonometric calculations by relating the angle to its equivalent acute angle.

Angle Measurement in Radians

Angles can be measured in degrees or radians, with radians being the standard unit in trigonometry. One full rotation (360 degrees) is equivalent to 2π radians. Understanding how to convert between these two units is essential for finding reference angles, especially when dealing with angles larger than 2π.

Finding Coterminal Angles

Coterminal angles are angles that share the same terminal side when drawn in standard position. To find a coterminal angle, you can add or subtract multiples of 2π. This concept is crucial for determining the reference angle, as it allows you to reduce larger angles to their equivalent angles within the standard range of 0 to 2π.