Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Analytic Trigonometry - 7.3 Trigonometric Equations - 7.3 Assess Your Understanding - Page 466: 25

Answer

$\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4} $

Work Step by Step

Using trigonometric identities, we have $2sin^2\theta-1=0 \longrightarrow sin\theta=\pm\frac{\sqrt 2}{2} \longrightarrow \theta=\frac{\pi}{4}, \pi-\frac{\pi}{4},\pi+\frac{\pi}{4},2\pi-\frac{\pi}{4} \longrightarrow \theta=\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4} $
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.