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Find a polar equation for the curve represented by the given Cartesian equation: {eq}xy = 3 {/eq}.

Question:

Find a polar equation for the curve represented by the given Cartesian equation: {eq}xy = 3 {/eq}.

Polar Coordinates:

We are given the rectangular equation of a hyperbola. To convert it to polar we use the polar transformation equation. We can simplify the resulted equation by using twice angle identities.

Answer and Explanation: 1

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Remember polar coordinates: {eq}\displaystyle \, x = r \cos(\theta) \quad \mbox{and} \quad y = r \sin(\theta). {/eq}

The polar parameters are ...

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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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