Finding coordinates on the Unit Circle

Coordinates can be found on the unit circle by inscribing 60, 45, and 30 degree triangles.



Thus triangles with
60 degrees corresponds to the coordinate (1/2,sqrt(3)/2)
45 degrees corresponds to the coordinate (sqrt(2)/2,sqrt(2)/2)
30 degrees corresponds to the coordinate (sqrt(3)/2,1/2)


So the adjacent side makes the x axis, the opposite side makes the y axis, and the hypotenuse always equals 1.