Copyright

Convert the given rectangular equation {eq}x^2 + y^2 - 2y = 0 {/eq} to polar form.

Question:

Convert the given rectangular equation {eq}x^2 + y^2 - 2y = 0 {/eq} to polar form.

Polar Coordinates:

The polar coordinates, like the Cartesian coordinates, allow expressing the curves in a convenient way.

Many curves are expressed in a simpler way in this coordinate system.

The relationship between both coordinates is given by the expression:

{eq}\left\{ {\begin{array}{*{20}{c}} {x = r\cos \theta }\\ {y = r\sin \theta } \end{array}} \right. \to {x^2} + {y^2} = {r^2} {/eq}

Answer and Explanation: 1

Become a Study.com member to unlock this answer!

View this answer

Using the change to polar coordinates:

{eq}\left\{ {\begin{array}{*{20}{c}} {x = r\cos \theta }\\ {y = r\sin \theta } \end{array}} \right. \to...

See full answer below.


Learn more about this topic:

Loading...
Graphing Functions in Polar Coordinates: Process & Examples

from

Chapter 24 / Lesson 1
5.3K

Learn how to graph polar equations and plot polar coordinates. See examples of graphing polar equations. Transform polar to rectangular coordinates and vice versa.


Related to this Question

Explore our homework questions and answers library