Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.2 - The Rectangular Coordinate System - 1.2 Problem Set - Page 25: 45

Answer

$(0,-1)$ lies on the graph of a 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 (0,-1), is found on the unit circle. Because this is a simple example, there is no need to substitute it into the equation of a circle to find whether the radius is equal to one, because 0 squared added to -1 squared is 1, the radius of the unit circle.
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