Precalculus (6th Edition)

by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie

Published by Pearson

ISBN 10: 013421742X

ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - 6.5 Graphs of the Tangent and Cotangent Functions - 6.5 Exercises - Page 623: 6

Answer

$-\pi$.

Work Step by Step

Vertical asymptotes of the graph $y=cot(x)$ can be written as $x=n\pi$ where $n$ is an integer. Thus the greatest negative value is $k=-\pi$.

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