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: 74

Answer

Positive Coterminal Angle: $585^o$ Negative Coterminal Angle: $-135^o$ Refer to the image below for the drawing.

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 225 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: $=225^o + 360^o \\= 585^o$ To find a negative angle coterminal with the given angle, subtract 360 degrees to the angle to obtain: $=225^o-360^o \\=-135^o$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.