Browser-local angle arithmetic
Coterminal Angle Calculator
Find the least nonnegative angle and bounded positive and negative coterminal examples.
Enter values and calculate.
Formula and method
Coterminal angles equal θ + 360°k or θ + 2πk, where k is an integer. Positive normalization uses a corrected modulo operation for negative values.
Worked example
30° has least nonnegative angle 30°, positive example 390°, and negative example −330°.
Limits and ownership boundary
Coterminal angles share a terminal side. This does not calculate the distinct acute reference-angle relationship.