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For the given polar equation, write an equivalent rectangular equation.

{eq}r^2 \sin(2 \theta) = 26 {/eq}

Question:

For the given polar equation, write an equivalent rectangular equation.

{eq}r^2 \sin(2 \theta) = 26 {/eq}

Polar and Rectangular Coordinates:

Polar coordinates as well as rectangular coordinates are often used when representing the various curves in two-dimensional space.

Between these coordinates the following relationship is verified:

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

Answer and Explanation: 1

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Applying the change formulas to polar coordinates:

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

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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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