Answer
$(0.5,0.866),(0.5,-0.866)$
Work Step by Step
The line $x=\frac{1}{2}$ intersects the circle $x^2+y^2=1$ at $(0.5,0.866)$and$(0.5,-0.866)$ as can be seen from the figure.
The solution can also be obtained analytically by substituting $x=\frac{1}{2}$ in the equation $x^2+y^2=1$ and solving for $y$
$$y^2 = 1-x^2$$
$$y = \pm \sqrt{1-x^2} = \pm \sqrt{1-(0.5)^2} = \pm \sqrt{\frac{3}{4}}$$
$$\therefore y = \pm \frac{\sqrt{3}}{2} \approx \pm 0.8660$$
$\therefore $ The coordinates are $(0.5,0.866)$and$(0.5,-0.866)$.
