Unit Circle Calculator
Enter an angle in degrees, radians, or multiples of π; get coordinates, sin, cos, tan, cot, sec, csc, conversions, and a live unit-circle diagram.
This calculator maps any angle θ to the unit-circle point (cos θ, sin θ), matching the standard definition: cosine is the x-coordinate and sine is the y-coordinate on a circle of radius 1.
Switch between degrees, radians, or π-multiples. The panel shows degree/radian conversion, a coterminal angle in [0, 2π), and exact-style π notation when your angle lines up with common fractions.
Tangent, cotangent, secant, and cosecant are shown with “undefined” where the underlying ratio is not finite (e.g. tan θ when cos θ = 0). A diagram plots the radius, the angle arc from the positive x-axis, and dashed legs for cos θ and sin θ.
x = cos(10 rad) = -0.8390715
y = sin(10 rad) = -0.5440211
tan(10 rad) = 0.6483608
Angle conversions & more
Degrees
572.95779513°
Radians
10 rad
≈ 3.18309886π
Coterminal on [0, 2π)
3.71681469 rad (212.957795°)
Also
Common angles
| α | rad | sin | cos | tan |
|---|---|---|---|---|
| 30° | π/6 | 1/2 | √3/2 | 1/√3 |
| 45° | π/4 | √2/2 | √2/2 | 1 |
| 60° | π/3 | √3/2 | 1/2 | √3 |