Math Calculator

SOHCAHTOA Calculator

Enter exactly two of opposite, adjacent, and hypotenuse to complete the right triangle and angles.

Enter two known sides

Leave the unknown side blank. Angles are reported in your chosen mode.

Clear

About this calculator

How to use SOHCAHTOA Calculator, plus the formulas and logic behind the results.

Tool description

SOH-CAH-TOA: sin = opp/hyp, cos = adj/hyp, tan = opp/adj for acute angle θ.

How to use

  1. Review the input fields and choose degrees or radians when asked.
  2. Enter the known values using consistent units.
  3. Select Calculate to view results.
  4. Adjust inputs and recalculate as needed.

Formulas & reference

  • sin θ = opposite / hypotenuse
  • cos θ = adjacent / hypotenuse
  • tan θ = opposite / adjacent

Trig tips

  • Confirm angle mode (degrees vs radians) before evaluating sin, cos, tan.
  • Right-triangle tools assume a 90° angle between legs a and b.
  • Triangle inequality: each side must be shorter than the sum of the other two.

Calculation logic

Uses Pythagoras to find the missing side, then arcsin/arccos/arctan for the acute angle facing the opposite side.

Educational calculator. Floating-point rounding may differ slightly from textbook answers.

SOHCAHTOA Calculator FAQ

Common questions about this calculator and how to use the results.

What is the SOHCAHTOA Calculator?

An online math tool on LeCalculators that solves sohcahtoa calculator problems with clear numeric results for study and everyday use.

Do I use degrees or radians?

Many trig tools include an angle mode selector. Match the mode to how your angle is written—degrees (°) or radians.

Why is my answer undefined or invalid?

Trig functions have domain limits (for example arcsin needs −1…1). Triangle tools also reject sides that violate the triangle inequality.

How precise are the results?

Results use floating-point math and are rounded for display with mathFormat. Tiny rounding differences vs hand calculation are normal.

Is this calculator free?

Yes. LeCalculators trigonometry tools are free to use in your browser with guides and FAQs on each page.

Can I use this for homework?

Yes—use it to check work. Always show your own steps when your teacher requires a written solution.