We will ahve the following:
[tex](-4,\frac{5\pi}{6})[/tex]First: We determine the x and y components:
*x-component:
[tex]x=-4\cos (\frac{5\pi}{6}\cdot\frac{180}{\pi})\Rightarrow x=2\sqrt[]{3}[/tex]*y-component:
[tex]y=-4\sin (\frac{5\pi}{6}\cdot\frac{180}{\pi})\Rightarrow y=-2[/tex]So, the cartesian equivalent is:
[tex](2\sqrt[]{3},-2)[/tex]