Unit Circle Calculator | Fibo Tools

Unit Circle Calculator

Enter any angle \u2014 get (cos \u03B8, sin \u03B8), exact on standard angles, plus the quadrant and reference angle.

For radians you can type a decimal or a \u03C0-form like pi/6.

③ WHY IT WORKS

Why the unit circle works

On the unit circle the radius is 1, so the point at angle \u03B8 lands at (cos \u03B8, sin \u03B8) by definition: cosine is the x-coordinate, sine the y-coordinate. The quadrant tells you the signs \u2014 both are negative in Quadrant III, for example \u2014 and the reference angle gives the acute \u201Ccore\u201D of the angle.