Converting Polar to Cartesian Coordinates Quiz

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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?

  • $(0,2)$
  • $(0,-2)$ (correct)
  • $(0,-3)$
  • $(2,0)$

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

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

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

  • $(1, -\frac{\pi}{3})$
  • $(-1, \frac{11\pi}{6})$
  • $(1, \frac{5\pi}{6})$
  • $(1, -\frac{\pi}{6})$ (correct)

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

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

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

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

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