Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Test - Page 51: 12

Answer

$(225 + 360k)^{\circ}$ Where 'k' is any integer (positive or negative)

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), $(225 + 360k)^{\circ}$ will be coterminal with the given angle $225^{\circ}$.
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