Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 8 - Section 8.1 - Polar Coordinates - 8.1 Exercises - Page 592: 15

Answer

$(5, 2\pi) (-5, 2\pi)$ See graph below.

Work Step by Step

Given $(-5, 0)$ $0$ is on the "x-axis" on the right side but since r = -5, then the point will be plotted on the "x-axis" for the left side. See the graph below. For different polar coordinates, it can be accomplished by the following: $(−r,θ+π)=(5, 0 +π)=(5, 2\pi)$ or $(r,θ+2π)=(-5, 0 + 2π)=(-5, 2\pi)$
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