Answer
$(\frac{1}{2}, \frac{\sqrt3}{2})$ is a point on the graph of the unit circle.
Work Step by Step
A unit circle is a circle with a radius of one, with a center on the origin (0,0).
Therefore the point $(\frac{1}{2}, \frac{\sqrt3}{2})$), is found on the unit circle.
To check for this, substitute the x and y values of the point into the area of a circle as well as the radius.
$x^2+y^2=r$
$(\frac{1}{2})^2+(\frac{\sqrt3}{2})^2=1$ Substitute.
$.25+.75=1$
$1=1$