Answer
$x=2k\pi+\frac{\pi}{6}$ and $x=2k\pi+\frac{5\pi}{6}$ (k is an integer).
Work Step by Step
We can find all the solutions for $sin\theta=\frac{1}{2}$ as $x=2k\pi+\frac{\pi}{6}$ and $x=2k\pi+\frac{5\pi}{6}$ (k is an integer).
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 6 - Analytic Trigonometry - Section 6.3 Trigonometric Equations - 6.3 Assess Your Understanding - Page 487: 8
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
