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