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: 34

Answer

The point in rectangular coordinates is $(0,0)$

Work Step by Step

$(0, 13\pi)$ The point has $r=0$ and $\theta=13\pi$. The formulas for converting polar to rectangular coordinates are $x=r\cos\theta$ and $y=r\sin\theta$ Substitute the known values into the formula to obtain $x$ and $y$: $x=r\cos\theta$ $x=(0)\cos(13\pi)=0$ $y=r\sin\theta$ $y=(0)\sin(13\pi)=0$ The point in rectangular coordinates is $(0,0)$
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