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

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View this answerUsing the change to polar coordinates:

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

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#### Learn more about this topic:

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Chapter 24 / Lesson 1Learn how to graph polar equations and plot polar coordinates. See examples of graphing polar equations. Transform polar to rectangular coordinates and vice versa.