Unit Circle Calculator
Math CalculatorsFind coordinates (x, y) on a unit circle for any angle.
1.000
X (Cos θ)
0.000
Y (Sin θ)
About This Tool
Map angles to coordinates on the unit circle. Learn the relationship between angles and the x (cos) and y (sin) values in the coordinate plane.
Frequently Asked Questions
A unit circle is a circle with a radius of exactly 1 centered at the origin (0,0) in the Cartesian coordinate system.
On the unit circle, for any angle $\theta$, the x-coordinate is $\cos(\theta)$ and the y-coordinate is $\sin(\theta)$.
Quadrant I (0-90°), II (90-180°), III (180-270°), and IV (270-360°). Each quadrant has specific plus/minus signs for x and y.
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