Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.4 - Inverse Trigonometric Functions and Right Triangles - 6.4 Exercises - Page 507: 26

Answer

$92.9^\circ$

Work Step by Step

Given $tan\theta=-20$, and $0^\circ\lt\theta\lt180^\circ$, we can identify that $\theta$ is in Quadrant II. Use a calculator we can find that $\theta=tan^{-1}(-20)=92.9^\circ$
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