Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - Chapter Review Exercises - Page 638: 5


$$c(\theta)=(\cos( \pi+\theta), \sin(\pi+ \theta)),$$

Work Step by Step

Since the parametrization $c(\theta)$ of the unit circle is given by $$c(\theta)=(\cos \theta, \sin \theta),$$then we can choose the parametrization $$c(\theta)=(\cos( \pi+\theta), \sin(\pi+ \theta)),$$ which satisfies $$c(0)=(\cos( \pi), \sin(\pi))=(-1,0).$$
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