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: 76

Answer

Positive coterminal angle: $30^{\circ}$ Negative coterminal angle: $-690^{\circ}$

Work Step by Step

The blue line in the figure represents the standard position of $-330^{\circ}$. To find a positive angle coterminal with $-330^{\circ}$, we must traverse a full revolution in the positive direction. Positive coterminal angle = $-330^{\circ}+360^{\circ}=30^{\circ}$ To find a negative angle coterminal with $-330^{\circ}$, we must traverse a full revolution in the negative direction. Negative coterminal angle = $-330^{\circ}-360^{\circ}= -690^{\circ}$
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