Respuesta :

Given data:

The given polar coordinate is (9, 5π/3).

The expression for the x- coordinate is,

[tex]\begin{gathered} x=9\cos (\frac{5\pi}{3}) \\ =9\times\frac{1}{2} \\ =4.5 \end{gathered}[/tex]

The expression for the y-coordinate is,

[tex]\begin{gathered} y=9\sin (\frac{5\pi}{3}) \\ =-7.7942 \\ \approx-7.79 \end{gathered}[/tex]

Thus, the caretesian coordinate is (+4.5, -7.79).