Question

Convert the polar coordinate, ( 9,(9,5713to a rectangular coordinate, (Ex, Ey).x=[ Select ]V[ Select ]y= [Select][ Select ]

Answer 1

Given data:

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

The expression for the x- coordinate is,

`\begin{gathered} x=9\cos ((5\pi)/(3)) \\ =9*(1)/(2) \\ =4.5 \end{gathered}`

The expression for the y-coordinate is,

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

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