How do I find the coordinates of 311° on the unit circle?

311 degrees is in the 4th quadrant

the x coordinate is positive while the y coordinate is negative

The radius is one so the x coordinate will be sqrt 1/2 and y cood will be - sqrt (1/2) (using the pythagoras theorem)

as a decimal this will be (0.707, - 0.707) to nearest thousanndth