Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 8 - Test - Page 407: 10b

Answer

The rectangular coordinates are $(0,-4)$

Work Step by Step

We can find the x-coordinate: $x = r~cos~\theta$ $x = (-4)~cos~90^{\circ}$ $x = (-4)~(0)$ $x = 0$ We can find the y-coordinate: $y = r~sin~\theta$ $y = (-4)~sin~90^{\circ}$ $y = (-4)~(1)$ $y = -4$ The rectangular coordinates are $(0,-4)$
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