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x = sin(θ/2), y= cos(θ/2), −π ≤ θ ≤ π.

Eliminate the parameter to find a Cartesian equation of the curve.

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clearly, x^2+y^2 = 1
The question is, how much of the circle is graphed?

θ x y
-π -1 0
0 0 1
π 1 0

we only get the top half of the circle.

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