Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 13 - Periodic Functions and Trigonometry - 13-2 Angles and the Unit Circle - Practice and Problem-Solving Exercises - Page 840: 20



Work Step by Step

Angles coterminal to angle $\theta$ are given by $\theta \pm n\times360^\circ$ where n is an integer. Therefore, an angle coterminal with $-405^\circ$ that is between $0^\circ$ and $360^\circ$ is $$-405^\circ + (2)360^\circ =-405^\circ + 720^\circ = 315^\circ$$
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