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Assuming you mean a unit circle with center at the origin, there are an infinite number of coordinate pairs on its circumference. The equation for the unit circle is:

x2 + y2 = 1 and anycombination of (x,y) values that makes true will be your answer.

The only integer answers are (1,0); (0,1); (-1,0) and (0,-1).

Other solutions involve 'special angles' in trig but have Irrational Numbers and or fractions.

300 --> (1/2 , [sq root 3] / 2)

450 --> ([sq root 2] / 2 , [sq root 2] / 2)

600 --> ([sq root 3] / 2 , 1/2)

any combinations of the above with opposite signs will also create coordinates for the unit circle.

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Q: Coordinates of points on the unit circle?
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