Convert the polar equation {eq}r + \cos \theta = 3 {/eq} into a rectangular equation.
Question:
Convert the polar equation {eq}r + \cos \theta = 3 {/eq} into a rectangular equation.
Modification of Polar Equation into Rectangular:
The equation written in the form of variables {eq}x {/eq} and {eq}y {/eq} is called a rectangular equation.
Modify the polar equation into a rectangular equation by setting {eq}r\cos \theta =x {/eq}, {eq}r\sin \theta =y {/eq}, and {eq}r=\sqrt{{{x}^{2}}+{{y}^{2}}} {/eq}.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerConsider the equation {eq}r + \cos \theta = 3 {/eq}.
Multiply both sides of the equation by {eq}r {/eq}.
{eq}\begin{aligned} r\left( r+\cos...
See full answer below.
Learn more about this topic:
from
Chapter 1 / Lesson 16Understand the definition of polar coordinates, discover the formula for expressing polar coordinates, and learn how to convert cartesian coordinates into polar coordinates with examples.