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 841: 44


$$573^\circ, -147^\circ$$

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 $213^\circ$ that is positive is $$213^\circ + (1)360^\circ = 573^\circ$$ and an angle coterminal with $213^\circ$ that is negative is $$213^\circ - (1)360^\circ = -147^\circ$$
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