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 593: 26

Answer

$(3, \frac{3\pi}{2})$$(3, \frac{3\pi}{2})$

Work Step by Step

The point P, $(0, -3)$ lies on the y-axis Change from rectangular to polar coordinates with $r^2 = x^2 + y^2$ and $\tan θ = \frac{y}{x}$ $r^2 = 0 + (-3)^2$ $r = 3$ $\tan θ = \frac{-3}{0}$ θ is undefined, but since it is on the negative part of the y-axis, it will be $\frac{3\pi}{2}$ Thus the answer is $(3, \frac{3\pi}{2})$
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