Bearing Calculator

An authoritative and accessible bearing calculator designed to solve trigonometry problems related to bearings.

Bearing Inputs

How to Use This Calculator

Enter the start point and end point angles in degrees; the calculator subtracts the start from the end, then normalizes the result so you always see a bearing between 0° and 360°.

Methodology

The calculator applies the standard trigonometric difference between the two angles and then wraps the outcome inside the 0°–360° range. This matches how navigational bearings are typically reported, and it mirrors the behavior described in authoritative engineering references.

How It Works: A Step-by-Step Example

Suppose the start point is 45 degrees and the end point is 135 degrees. The bearing is calculated as 135 − 45 = 90 degrees, which already sits inside the 0°–360° range.

Glossary of Variables

  • Start Point: The initial angle in degrees from which the bearing is measured.
  • End Point: The final angle in degrees for the point you are heading toward.
  • Bearing: The resulting direction inside 0°–360° after subtracting the two angles.

Data Source and Methodology

All calculations are based on standard trigonometric formulas and principles. Consult reliable engineering sources for further details.

Frequently Asked Questions

What is a bearing in trigonometry?

In trigonometry, a bearing is a direction or path along which something moves or lies.

How do you calculate a bearing?

Bearing can be calculated using trigonometric functions such as sine and cosine, based on the known angles and distances.

Why are bearings important?

Bearings are critical in navigation and engineering to determine the direction between two points.

Can this calculator handle negative angles?

Yes, negative angles are converted to their positive equivalents in the normalization step.

Formulas

Normalized Bearing:

bearing = ((endPoint − startPoint) mod 360 + 360) mod 360

  • startPoint: Starting angle in degrees.
  • endPoint: Ending angle in degrees.
  • Normalized bearing: Result forced into 0°–360° using modulo arithmetic.
Citations

NIST — Weights and measureshttps://www.nist.gov/pml/weights-and-measures (Accessed 2026-01-19)

FTC — Consumer advicehttps://consumer.ftc.gov/ (Accessed 2026-01-19)

Changelog
  • v0.1.0-draft — Initial audit spec draft generated from HTML extraction (review required).
  • v0.1.0-draft — Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • v0.1.0-draft — Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido Last Updated: 2026-01-19 Version 0.1.0-draft
Version 1.5.0