## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.3 Polar Coordinates - Exercises - Page 618: 18

#### Answer

$$r = 5\sec \theta$$

#### Work Step by Step

Given $$x=5$$ Since $y=r\sin\theta,\ \ x= r\cos\theta,\ \ r^2=x^2+y^2$, then \begin{align*} x&=5\\ r\cos\theta&=5 \\ r&= 5\sec \theta \end{align*}

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