Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.4 Solve Trigonometric Equations - 14.4 Exercises - Skill Practice - Page 935: 10


$$x=\frac{4\pi }{3}+2\pi n,\:x=\frac{5\pi }{3}+2\pi n$$

Work Step by Step

We solve the equation using the properties of trigonometric functions. Note, there is a general solution since trigonometric identities go up and down and this can pass through a given value of y many times. Solving this, we find: $$\sqrt{3}\csc \left(x\right)=-2 \\ \csc \left(x\right)=-\frac{2\sqrt{3}}{3} \\\ x=\frac{4\pi }{3}+2\pi n,\:x=\frac{5\pi }{3}+2\pi n$$
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.