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: 1

Answer

We can describe the location of a point in the plane using different coordinate systems. The Point P shown in the figure has rectangular coordinates (1,1) and polar coordinates ($\sqrt 2$, $\frac{\pi}{4}$)

Work Step by Step

Look at x and y values of point for rectangular coordinates. To find polar coordinates, remember a polar coordinate is written in the form (r, theta). Using Pythagorean theorem, r = $\sqrt 2$. For theta the arctan of 1 = $\frac{\pi}{4}$
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