Answer
$-\frac{\pi}{4}$
Work Step by Step
We need to find the inverse tangent of $-1$. We recall from the unit circle that $\tan {-\pi/4}=-1$. Thus, we have:
$$
\tan^{-1}(-1)=-\tan^{-1}1=-\frac{\pi}{4}
.$$
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 8 - Polar Coordinates; Vectors - Section 8.1 Polar Cordinates - 8.1 Assess Your Understanding - Page 591: 4
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