Respuesta :

The formula to convert to rectangular coordinates is,

[tex](rcos\theta,rsin\theta)=(x,y)[/tex]

Given

[tex](r,\theta)=(3\sqrt{2},\frac{5\pi}{4})[/tex]

Therefore,

[tex]\begin{gathered} x=3\sqrt{2}cos(\frac{5\pi}{4})=-3 \\ y=3\sqrt{2}sin(\frac{5\pi}{4})=-3 \end{gathered}[/tex]

Hence, (x,y) = ( -3, -3 ) (Option A)