Write an expression that generates all angles coterminal with each angle. Let n represent any integer. ―90°

Key Concepts

Coterminal Angles

Coterminal angles are angles that share the same terminal side when drawn in standard position. They can be found by adding or subtracting multiples of 360° (for degrees) or 2π (for radians) to a given angle. For example, 30° and 390° are coterminal because 390° - 30° = 360°.

Integer Multiples

In the context of generating coterminal angles, 'n' represents any integer, which can be positive, negative, or zero. By multiplying 'n' by 360° and adding or subtracting this value from the original angle, you can find all angles that are coterminal with the given angle. This allows for an infinite number of coterminal angles.

Standard Position of an 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, and understanding this position is crucial for visualizing and calculating coterminal angles.