Enter an angle to calculate its coordinates, tangent, and quadrant on the unit circle.
How to Use the Unit Circle Calculator
Enter an angle in degrees. The calculator plots it on the unit circle as (cos θ, sin θ) coordinates, along with tan θ and which quadrant it falls in.
x = cos(θ)
y = sin(θ)
tan(θ) = y ÷ xThe unit circle is just a circle of radius 1 centered at the origin, and every point on it is, by definition, (cos θ, sin θ) for the angle θ measured from the positive x-axis. That's not a coincidence dressed up as a definition — it's the actual reason sine and cosine are defined the way they are, extending the right-triangle version of sine and cosine (opposite over hypotenuse, adjacent over hypotenuse) to angles beyond 90° where a right triangle no longer makes sense on its own.