Precalculus (10th Edition)

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

Chapter 6 - Trigonometric Functions - 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 6.5 Assess Your Understanding - Page 418: 10

Answer

no $y$-intercept

Work Step by Step

We can get the $y$-intercept by plugging in $x=0$ into the function. Substitute $0$ into $x$ to obtain: $y=\csc{0}$ Note, however, that cosecant is undefined when $x=0$. Hence, the cosecant function has no $y$-intercept.
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.