In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle.-760°

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 360° (for degrees) or 2π (for radians) from the given angle. For example, -760° can be made positive by adding 360° multiple times until the angle is within the range of 0° to 360°.

Angles can be measured in degrees or radians, with 360° equivalent to 2π radians. Understanding how to convert between these two systems is essential for solving problems involving angles. In this case, since the angle is given in degrees, we will work within the degree measurement system to find the coterminal angle.

An angle is said to be in standard position when its vertex is at the origin of a coordinate system and its initial side lies along the positive x-axis. The terminal side of the angle is determined by the angle's measure. This concept is crucial for visualizing and determining coterminal angles, as it helps in understanding how angles are represented in a coordinate plane.