Unit circle calculator

Find the point (cosθ, sinθ) on the unit circle for an angle in degrees.

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Angle (degrees)

Answer

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Find the point (cosθ, sinθ) on the unit circle for an angle in degrees.

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Precision and calculation record

Decimal places in numeric results and text downloads

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Formula and assumptions

The unit circle has radius 1. Angles increase counterclockwise from the positive x-axis. Floating-point values near axis crossings may be tiny numbers instead of exact zero.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Unit circle calculator

Find the point (cosθ, sinθ) on the unit circle for an angle in degrees.

The unit circle has radius 1. Angles increase counterclockwise from the positive x-axis. Floating-point values near axis crossings may be tiny numbers instead of exact zero.

Next: Scientific calculator

A worked example

Example inputs: angle (degrees) = 60. Unit-circle x coordinate = 0.5.

Before you use the result

The unit circle has radius 1. Angles increase counterclockwise from the positive x-axis. Floating-point values near axis crossings may be tiny numbers instead of exact zero.

Example results for angle (degrees)

These examples use the formula above. They are reference calculations, not recommended settings.

Angle (degrees)	Unit-circle x coordinate
30	0.866025403784
60	0.5
120	-0.5

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