Answer
$
x=r\cos \theta, \quad y=r\sin \theta
.$
Work Step by Step
The rectangular coordinates $ (x, y) $ are given by
$$
x=r\cos \theta, \quad y=r\sin \theta
.$$
See page 586 of the textbook for details.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 8 - Polar Coordinates; Vectors - Section 8.1 Polar Cordinates - 8.1 Assess Your Understanding - Page 591: 8
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