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Square pyramid
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Calculators / Math / Unit circle coordinates
Unit circle coordinates calculator
Find the coordinates of a point at a given angle on the unit circle.
On this page
Horizontal coordinate0.87
Vertical coordinate0.5
Angle in radians0.52rad
Calculator controls
How to calculate
Find the coordinates of a point at a given angle on the unit circle.
Horizontal coordinate = cos(a*pi/180); Vertical coordinate = sin(a*pi/180); Angle in radians = a*pi/180 rad
Worked example
Angle (degrees): 30.
Horizontal coordinate: 0.87 ; Vertical coordinate: 0.5 ; Angle in radians: 0.52 rad.
Assumptions and limits
Angles are measured counterclockwise from the positive x axis. Coordinates lie on a circle of radius one; large angles are reduced implicitly by trigonometric functions.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find the coordinates of a point at a given angle on the unit circle.
When this tool is useful
Horizontal coordinate = cos(a*pi/180); Vertical coordinate = sin(a*pi/180); Angle in radians = a*pi/180 rad
Understanding your inputs
| Input | What to enter |
|---|---|
| Angle (degrees) | Enter a number of at least -360000 and no more than 360000. |
Frequently asked questions
What assumptions does this calculation use?
Angles are measured counterclockwise from the positive x axis. Coordinates lie on a circle of radius one; large angles are reduced implicitly by trigonometric functions.
How is the result calculated?
Horizontal coordinate = cos(a*pi/180); Vertical coordinate = sin(a*pi/180); Angle in radians = a*pi/180 rad