$ ext{Find the coordinates of the points where the unit circle intersects the x-axis.}$

$\text{The unit circle has the equation } x^2 + y^2 = 1.$

$\text{To find the intersection with the x-axis, we set } y = 0.$

$x^2 + 0^2 = 1$

$x^2 = 1$

$x = \pm 1.$

$\text{Thus, the coordinates are } (1, 0) \text{ and } (-1, 0).$

$ ext{The equation of the unit circle is } x^2 + y^2 = 1.$

$ ext{On the x-axis, the y-coordinate is zero, so } y = 0.$

$x^2 + 0 = 1$

$x^2 = 1$

$x = pm 1.$

$ ext{Therefore, the points of intersection with the x-axis are } (1, 0) ext{ and } (-1, 0).$

$ ext{Equation of unit circle: } x^2 + y^2 = 1.$

$ ext{Set } y = 0.$

$x^2 = 1$

$x = pm 1.$

$ ext{Points: } (1, 0) ext{ and } (-1, 0).$

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