# The rectangular coordinates of a point are (4, −4). Plot the point and find two sets of polar coordinates for the point for 0 < 2.

The rectangular coordinates of a point are (4, −4). Plot the point and find two sets of polar coordinates for the point for $0<2$.
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Given, $\left(x,y\right)=\left(4,-4\right)$ For the polar coordinates
$r=\sqrt{16+16}$
$r=\sqrt{32}$
$r=4\sqrt{2}$ And $\theta =ta{n}^{-}1\left(\frac{-4}{4}$
$\theta =ta{n}^{-}1\left(-1\right)$
$\theta =\frac{\pi }{4}$ The two sets of polar coordinates are $\left(-4\sqrt{2},\frac{\pi }{4}\right).\left(4\sqrt{2},\frac{\pi }{4}\right)$