Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX E - Sigma Notation - E Exercises - Page A 38: 24

Answer

$1$

Work Step by Step

We expand and simplify the sum: $\displaystyle \sum_{k=0}^{8}\cos k\pi=\cos 0\pi+\cos1\pi+\cos 2\pi+\cos 3\pi+\cos 4\pi+\cos 5\pi+\cos 6\pi+\cos 7\pi+\cos 8\pi$ $=1-1+1-1+1-1+1-1+1$ $=1$
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