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 26: 85


$(30 + 360k)^{\circ}$ where 'k' is any integer.

Work Step by Step

There exist an infinite number of angles that may be coterminal with any given angle. We can find a coterminal angle by adding or subtracting $360^{\circ}$ any number of times to that angle. For any integer value of k (positive or negative), $(30 + 360k)^{\circ}$ will be coterminal with the given angle $30^{\circ}$.
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