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!

View this answer

Consider 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:

Loading...
Polar Coordinates: Definition, Equation & Examples

from

Chapter 1 / Lesson 16
28K

Understand the definition of polar coordinates, discover the formula for expressing polar coordinates, and learn how to convert cartesian coordinates into polar coordinates with examples.


Related to this Question

Explore our homework questions and answers library