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: 13

Answer

$(1, \frac{\pi}{6}) (-1, \frac{19\pi}{6})$ See graph below.

Work Step by Step

7π/6 is in the third quadrant, but since r = -1, then the point will be plotted for $\frac{\pi}{6}$ with a radius of 1 See the graph below. For different polar coordinates, it can be accomplished by the following: $(−r,θ+π)=(1,\frac{7\pi}{6}+π)=(1, \frac{\pi}{6})$ or $(r,θ+2π)=(-1,\frac{7\pi}{6}+ 2π)=(-1, \frac{19\pi}{6})$
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