Trig Calculator
Trigonometry Function Calculator works out Result and Result unit from Function, Angle and Angle unit. The default figures on this page give result of 0.5; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
3 steps
- θ = 30 deg = 0.5235987756 rad (× π/180 for degrees)
- sin(30°) = 0.5
- Coterminal angle in [0°, 360°) = 30°, quadrant I, reference angle 30°
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
3 sources
What the Trigonometry Function Calculator calculates
Evaluates sine, cosine, tangent, their reciprocals and hyperbolic partners, or inverts any of them, and reports all six circular functions of the resulting angle with its quadrant, reference angle and exact unit-circle value.
How to use this Trigonometry Function Calculator
Enter Function, Angle, Angle unit and Function value. Result updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Result, Result unit and Angle.
The method follows NIST Digital Library of Mathematical Functions, Chapter 4: Elementary Functions (trigonometric and inverse trigonometric), Weisstein, Eric W. "Inverse Cotangent." MathWorld — principal branch (0, π) convention and Abramowitz & Stegun, Handbook of Mathematical Functions, Chapter 4.
sin 30° example
With Function: sin, Angle: 30, Angle unit: deg, the calculator returns Result: 0.5, cos θ: 0.866025404, Quadrant: I. This example is checked against an independent source in the test suite.
What you can compare
Change one input at a time to see how it affects Result, Result unit and Angle. The inputs you can vary are Function, Angle, Angle unit, Function value and x (for atan2).
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
How does a calculator do trig?
Evaluates sine, cosine, tangent, their reciprocals and hyperbolic partners, or inverts any of them, and reports all six circular functions of the resulting angle with its quadrant. Open “How this is worked out” beside the result to see each step for your own figures.
Which calculator is best for trig?
Evaluates sine, cosine, tangent, their reciprocals and hyperbolic partners, or inverts any of them, and reports all six circular functions of the resulting angle with its quadrant. On the figures this page opens with — angle 30 — the result is 0.5. Put your own figures in their place and the working updates beside the result.
How to put calculator in trig mode?
It needs Function, Angle, Angle unit, Function value and x (for atan2). Nothing else is required, and the figures stay in your browser.
Does a TI-84 have trig functions?
The result gives Result, Result unit, Angle, sin θ, cos θ and tan θ, each labelled with its unit so the figure can be read on its own.
What information do I need for the Trigonometry Function Calculator?
You need Function, Angle, Angle unit, Function value and x (for atan2). The page opens with default figures that give result of 0.5, so you can see the scale before entering your own.
What does this Trigonometry Function Calculator show?
It shows Result, Result unit, Angle, sin θ, cos θ, tan θ, csc θ and sec θ, with the working and any warnings for your entries.