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Converting Polar to Cartesian Coordinates Quiz

Test your skills in plotting points with polar coordinates and finding their equivalent Cartesian coordinates. Practice solving for the Cartesian coordinates given the polar coordinates. Sketch regions in the plane satisfying specific polar coordinate conditions.

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@KindlyNashville
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Questions and Answers

For a point with polar coordinates $\left(2, \frac{3\pi}{2}\right)$, what are the Cartesian coordinates of the point?

$(0,-2)$

What are the polar coordinates of the point with Cartesian coordinates $(\sqrt{2}, \frac{\pi}{4})$?

$(\sqrt{2}, \frac{3\pi}{4})$

Given Cartesian coordinates $(-1,-\frac{\pi}{6})$, what are the polar coordinates of the point?

$(1, -\frac{\pi}{6})$

What are the polar coordinates of the point with Cartesian coordinates $(-4,4)$?

<p>$(4, \frac{3\pi}{4})$</p> Signup and view all the answers

If a point's Cartesian coordinates are $(3, 3\sqrt{3})$, what are its polar coordinates?

<p>$(6, \frac{\pi}{3})$</p> Signup and view all the answers

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