Determine all integer points on the unit circle


The point (x, y) is the integer ponit on the unit cirlce of x and y are integers with x^2 + y^2 = 1.
The point is rational point if x and y are rational numbers satisfying with x^2 + y^2 = 1.

Determine all integer points on the unit circle and why it is all of them.
Can you include x = 1/2 as rational point on unit circle?

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Mathematics: Determine all integer points on the unit circle
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