Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 10 - Conics, Parametric Equations, and Polar Coordinates - 10.4 Exercises - Page 722: 7

Answer

Rectangular coordinates: $(-1 , 1)$ -----------

Work Step by Step

In polar coordinates, the first number represents the value for $r$, and the second number represents the value for $\theta$. $(\sqrt 2, 2.36)$ Thus: $r = \sqrt 2$ and $\theta = 2.36$ Knowing that $x = rcos(\theta)$ and $y = rsin(\theta):$ $x = rcos(\theta) = (\sqrt 2)(cos(2.36)) = -1$ $y = rsin(\theta) = (\sqrt 2)(sin(2.36)) = 1$
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