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Find a Cartesian equation for the curve described by the given polar equation.

{eq}r=3 \sin \theta {/eq}

Question:

Find a Cartesian equation for the curve described by the given polar equation.

{eq}r=3 \sin \theta {/eq}

Converting an Equation from Polar to Cartesian Coordinates:

To convert a polar equation {eq}r = f(\theta) {/eq} to Cartesian coordinates, we use the formulas {eq}r = \sqrt{x^2 + y^2} \\ y = r \sin \theta \\ x = r \cos \theta. {/eq} Sometimes we can multiply both sides of the equation by {eq}r {/eq} to simplify the conversion process.

Answer and Explanation: 1

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In order to convert the equation {eq}r=3 \sin \theta {/eq} to Cartesian coordinates, first multiply both sides by {eq}r. {/eq} This gives {eq}r^2 =...

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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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