Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 9 - Polar Coordinates; Vectors - 9.1 Polar Coordinates - 9.1 Assess Your Understanding - Page 572: 58

Answer

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

Work Step by Step

We know that if the rectangular coordinates of the point are $(x,y)$, then $r=\sqrt{x^2+y^2}$ and $\theta=\tan^{-1}{(\frac{y}{x})}$ if the point is not on one of the axes. $r=\sqrt{0^2+2^2}=2$, but here the point is on the y-axis, hence: $\theta=\frac{\pi}{2}$ (because it is on the upper half). The point has polarcoordinates $(2,\frac{\pi}{2})$.
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