Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix E - Sigma Notation - E Exercises: 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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