Unit Circle Calculator

The unit circle is the circle of radius 1 centred on the origin, where the coordinates of a point are the cosine and the sine of its angle. Enter an angle in degrees or as a multiple of pi and this returns the quadrant, the reference angle, the coterminal angle, the point itself and all six trigonometric functions, drawn on the circle. At every multiple of 15 degrees the answers come back as exact radicals rather than decimals. Other angles get ten-place decimals instead, because their exact forms are nested radicals nobody reads.