Math
Coterminal angles.
Definition
Coterminal angles are angles that share the same terminal side when drawn in standard position. You find coterminal angles by adding or subtracting full rotations (360° or 2π radians).
Examples
Real-world.
- 1 30° and 390° are coterminal because 390° - 360° = 30°
- 2 −45° is coterminal with 315°
- 3 π/3 and 7π/3 are coterminal because 7π/3 - 2π = π/3
Key Fact
Coterminal angles: θ ± 360°n (degrees) or θ ± 2πn (radians)