Find a polar equation for the curve represented by the given Cartesian equation. A) x^2 + y^2 =...

Question:

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

A) {eq}x^2 + y^2 = 8x {/eq}

B) {eq}xy = 6 {/eq}

Polar Equation:

To find a polar equation for a curve represented in Cartesian equation, we apply the transformation from cartesian to polar coordinates {eq}x=\rho \cos \theta\\ y=\rho \sin \theta\\ {/eq} where the radial distance {eq}\rho = \sqrt(x^2+y^2) \\ {/eq}

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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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