What coordinates on the unit circle are associated with the angle measure?

23 pi /6   is tha same as    - pi/6   on the circle      coordinates are  sqrt 3 / 2  , -1/2

-5 pi / 4 is the same as 3 pi/4     coordinates = -  sqrt2/2, sqrt2/2

120 degrees is tha same as  2 pi/3   coordinates =  -1/2 , sqrt 3/2