Chapter 1 - Section 1.2 - The Rectangular Coordinate System - 1.2 Problem Set - Page 25: 47

$(\frac{1}{2}, \frac{\sqrt3}{2})$ 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. $.25+.75=1$ $1=1$

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