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Convert the polar equation r = (1)/(cos(theta)-sin(theta)) to an equation in rectangular...

Question:

Convert the polar equation {eq}\displaystyle r=\frac{1}{\cos \theta -\sin \theta } {/eq} to an equation in rectangular coordinates.

Converting From Polar To Rectangular Coordinates

When converting from polar to rectangular coordinates we can use the following relations:

{eq}x=r\cos \theta\\ y=r\sin \theta {/eq} Note that we also have the following relation for reference:

{eq}x^2+y^2=r^2\ {/eq}

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Converting Between Parametric & Rectangular Forms

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Chapter 24 / Lesson 4
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Learn about the rectangular equations and parametric forms in linear algebra. Know how to write and convert between parametric and rectangular equations.


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