Convert the equation to polar coordinates.

{eq}\displaystyle{ x^2 + y^2 = 5x }{/eq}

Question:

Convert the equation to polar coordinates.

{eq}\displaystyle{ x^2 + y^2 = 5x }{/eq}

Rectangular Coordinate to Polar Coordinates:

The rectangular equation and polar coordinates are interchangeable and can be converted from one form to another, depending on the need of the problem. Certain values are used to convert the form of the equation that is given below.

{eq}\begin{align*} x &= r\cos \theta \\ y &= r\sin \theta \end{align*} {/eq}

Answer and Explanation: 1

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Given Data:

  • The given rectangular form of equation is: {eq}{x^2} + {y^2} = 5x {/eq}


Substitute {eq}x = r\cos \theta {/eq} and {eq}y = r\sin...

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Graphing Functions in Polar Coordinates: Process & Examples

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


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