Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.6 - Graphs of Other Trigonometric Functions - Exercise Set - Page 610: 57


$\{-\frac{3\pi}{2}, \frac{\pi}{2} \}$

Work Step by Step

Step 1. Rewrite the equation as $csc(x)-1=0$ and define a function $f(x)=csc(x)-1$. Step 2. Graph the function in the interval of $[-2\pi,2\pi]$ as shown in the figure. Step 3. Identify zeros as $x=-\frac{3\pi}{2}, \frac{\pi}{2}$ Step 4. We conclude the solution set in $[-2\pi,2\pi]$ is $\{-\frac{3\pi}{2}, \frac{\pi}{2} \}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.