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: 73

Answer

Positive Coterminal Angle: $660^o$ Negative Coterminal Angle: $-60^o$ Refer to the iamge below for the drawing.
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Work Step by Step

(refer to the attached image in the answer part above) The angle is positive so from the positive x-axis (initial side is the blue segment), move 300 degrees counterclockwise (terminal side is the green segment). To find a positive angle coterminal with the given angle, add 360 degrees to the angle to obtain: $=300^o + 360^o = 660^o$ To find a negative angle coterminal with the given angle, subtract 360 degrees to the angle to obtain: $=300^o-360^o \\=-60^o$
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