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: 55

Answer

$x=6$

Work Step by Step

Formulas relating rectangular $(x,y)$ and polar $(r,\theta)$ coordinates: $ x=r\cos\theta$ and $ y=r\sin\theta$ $r^{2}=x^{2}+y^{2}$ and $\displaystyle \tan\theta=\frac{y}{x}$. --------- $r\cos\theta=6$ Substitute $ r\cos\theta$ with x, $x=6$ ...the equation with rectangular coordinates.
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