Respuesta :

We have the next point

[tex]\mleft(5,-7\pi/6\mright)[/tex]

We have the next formula to convert the polar coordinate to rectangular coordinates

[tex]\begin{gathered} x=r\cos (\theta) \\ y=r\sin (\theta) \end{gathered}[/tex]

Then w substitute the values

[tex]x=5\cos (-\frac{7\pi}{6})[/tex][tex]y=5\sin (-\frac{7\pi}{6})[/tex]

Therefore

[tex]x=\frac{-5\sqrt[]{3}}{2}=-4.33[/tex][tex]y=\frac{5}{2}=2.5[/tex]

ANSWER

x=-4.33

y=2.5

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