Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.1 - The Unit Circle - 5.1 Exercises - Page 408: 23

Answer

(1,0)

Work Step by Step

2$\pi$ is 360 degrees and its coordinates are (1, 0). Since 2$\pi$ is a full rotation of the unit circle, if you add another 2$\pi$ you would get 4$\pi$. 4$\pi$ is in the same spot as 2$\pi$ except 4$\pi$ is an additional rotation of the unit circle. Therefore 4$\pi$'s coordinates are (1,0) as well.
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