Answer
$\frac{\pi}{2}$.
Work Step by Step
The general solutions for $cot(x)=0$ can be written as $x=k\pi+\frac{\pi}{2}$ where $k$ is an integer. Thus the least positive value is $\frac{\pi}{2}$.
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: 2
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