Unit Circle Calculator (Free Exact Values for Any Angle)

Use this free unit circle calculator to find the exact and decimal values of all six trigonometric functions for any angle. Enter an angle in degrees or radians and instantly see sin, cos, tan, csc, sec, and cot, along with the quadrant, the reference angle, and an interactive unit-circle diagram.

What is the unit circle?

The unit circle is a circle of radius 1 centered at the origin. For an angle θ measured from the positive x-axis, the point where the terminal side meets the circle is exactly (cos θ, sin θ). That single idea lets you read every trig value straight off the circle.

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How to use the calculator

1. Choose degrees or radians.
2. Type the angle (try 30, 45, 60, 90, 120…).
3. Press Solve to get exact values, the quadrant, the reference angle, and the diagram.

See also our Trigonometry Calculator and all of our free math calculators.

Frequently asked questions

Does it give exact values like √3/2?

Yes. For the common angles (multiples of 30° and 45°) it shows the exact value as well as the decimal; for other angles it shows accurate decimals.

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Can I enter radians?

Yes — switch the unit selector to radians and enter the angle (for example 1.0472 for π/3).

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What is a reference angle?

The acute angle between the terminal side and the x-axis. The calculator reports it and the quadrant so you can determine the correct signs.

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