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Find a polar equation of the form r = f(theta) for the curve represented by the Cartesian...

Question:

Find a polar equation of the form {eq}r = f(\theta) {/eq} for the curve represented by the Cartesian equation {eq}x^2 + y^2 = 2cx {/eq}.

Polar Coordinates:

We have the Cartesian equation of a circle in the xy-plane centered at point ( c , 0 ) and with the radius |c|.

We find the polar equation of this circle by using the equations for the cartesian coordinates in terms of polar coordinates.

Answer and Explanation: 1

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We have the equation of a circle: {eq}\displaystyle \; x^2 + y^2 - 2cx = 0 \; {/eq}.

To find the polar equation of this circle, we use the...

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Polar Coordinates: Definition, Equation & Examples

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Chapter 1 / Lesson 16
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Understand the definition of polar coordinates, discover the formula for expressing polar coordinates, and learn how to convert cartesian coordinates into polar coordinates with examples.


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