Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson

Chapter 8 - Polar Coordinates; Vectors - Section 8.2 Polar Equations and Graphs - 8.2 Assess Your Understanding - Page 606: 32

Answer

$\bf{Graph-B}$

Work Step by Step

The conversion of polar co-ordinates $(r, \phi)$ to rectangular coordinates $(x,y)$ is given by: $x=r \ \cos(\theta)$, $y=r \ \sin(\theta)$ where, $r=\sqrt{x^2+y^2}$ We are given the equation: $r \cos(\theta)=2 \implies x=2$ This means that the given equation is equivalent to $x=2$, which is a vertical line through the point $x=2$. Therefor, our required answer is $\bf{Graph-B}$.

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