Answer
$-1$.
Work Step by Step
As we can see from the attached graph, as $x$ gets closer and closer to $\pi$ from the left and the right, the value of the function (the $y$-value) gets closer and closer to $-1$. Thus the limit is $-1$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.1 Finding Limits Using Tables and Graphs - 13.1 Assess Your Understanding - Page 896: 30
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