Math

Coterminal Angle Calculator

Find positive and negative coterminal angles.

Calculated Output

Positive coterminal (°) 405

Negative coterminal (°) -315

Formula: add or subtract 360°

Step-by-Step Breakdown

1. Values used:

2. Angle = 45 °

4. Positive coterminal = 405°

5. Negative coterminal = -315°

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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.