Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 10 - Parametric Equations and Polar Coordinates - 10.3 Exercises - Page 687: 21

Answer

The polar equation for the curve is represented by $y =2$ is: $r = 2csc(\theta)$

Work Step by Step

$y = 2$ Since $y = rsin(\theta)$, we can substitute this expression and get: $rsin(\theta) = 2$ Finally, solve for $r$, by dividing both sides by $sin(\theta)$ $r = \frac{2}{sin(\theta)}$ We can also write the expression as: $r = 2\frac{1}{sin(\theta)} = 2csc(\theta)$
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.