Coterminal Angle Calculator

Find positive and negative coterminal angles.

Positive coterminal (°) 405

Negative coterminal (°) -315

Formula: add or subtract 360°

Step-by-step with your numbers:

1. Values used:

2. Angle = 45 °

4. Positive coterminal = 405°

5. Negative coterminal = -315°

Did we solve your problem today?

Coterminal angles share the same terminal side (differ by full turns).

The math behind it

Add or subtract 360° (or multiples) to find coterminal angles.

45° → 405° and −315°.

How many exist?

Infinitely many — every multiple of 360° added or subtracted.