Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 10 - Section 10.1 - Curves Defined by Parametric Equations - 10.1 Exercises - Page 645: 13

Answer

a: $y=\frac{1}{x}$ b: See graph below

Work Step by Step

a: $x = sin(t), y = csc(t)= \frac{1}{sin(t)}$ We can either substitute $sin(t)$ with $x$, or use inverses to solve. INVERSE: $x = sin(t) $ $arcsin(x)=t$ $y= \frac{1}{sin(t)} = \frac{1}{sin(arcsin(x))}=\frac{1}{x}$ b:
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.