Metric Unit Calculator
Math calculator

Trigonometric Law of Sines Angle Calculator

Find a target triangle angle from a known side-angle pair and another side.

Target angle (degrees): -
Visual representation

Trigonometric Law of Sines Angle Calculator diagram

The diagram updates with your entries and is illustrative, not necessarily drawn to scale.

Calculation explained

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

This returns the principal arcsine solution. In an SSA configuration, a supplementary angle may also form a valid triangle.
Recommended resources

Products that may help

Recommended

Udemy Education

Udemy is an AI-powered skills acceleration platform transforming how companies and individuals across the world build the capabilities needed to thrive in a rapidly evolving workplace.

View offerAffiliate link — we may earn a commission at no extra cost to you.

How the Trigonometric Law of Sines Angle Calculator works

Find a target triangle angle from a known side-angle pair and another side.

Formula

arcsin(targetSide × sin(knownAngle × π ÷ 180) ÷ knownSide) × 180 ÷ π

How to use this calculator

  1. Enter every measurement using one consistent length or angle unit.
  2. Select Calculate to evaluate the formula.
  3. Review the substituted values in the calculation explanation.

Interpretation and limitations

This returns the principal arcsine solution. In an SSA configuration, a supplementary angle may also form a valid triangle. Decimal answers are rounded for display; retain additional precision for subsequent calculations.

Geometry collection

This calculator belongs to the Trigonometry section of the Math calculator library.

Keep exploring
2D Coordinate DistanceCalculate distance using the 2d coordinate distance formula.2D Distance CalculatorFind the straight-line distance between two points in a Cartesian plane.3D Coordinate DistanceCalculate distance using the 3d coordinate distance formula.3D Distance CalculatorFind the straight-line distance between two points in three-dimensional Cartesian space.AAA Triangle Theorem CalculatorFind a triangle’s third angle from two known angles in an AAA configuration.AAS Triangle Theorem CalculatorFind a target side using two angles and one non-included side (AAS).