Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Chapter Review - Review Exercises - Page 654: 6

Answer

$(5,0.93)$, $(-5,4.07)$

Work Step by Step

1. Given $(3,4)$ (in quadrant I) in rectangular coordinates, we have $r=\sqrt {9+16}=5$ and $\theta=tan^{-1}\frac{4}{3}\approx0.93$, thus we have $(5,0.93)$ in polar coordinates for $r\gt0$. 2. For $r\lt0$, we can choose $(-5,\pi+0.93)$ or $(-5,4.07)$ for the same point.
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.