Question

Convert the polar coordinates (-4, (5π)/6) to Cartesian coordinates.

Answer 1

We will ahve the following:

`(-4,(5\pi)/(6))`

First: We determine the x and y components:

*x-component:

`x=-4\cos ((5\pi)/(6)\cdot(180)/(\pi))\Rightarrow x=2\sqrt[]{3}`

*y-component:

`y=-4\sin ((5\pi)/(6)\cdot(180)/(\pi))\Rightarrow y=-2`

So, the cartesian equivalent is:

`(2\sqrt[]{3},-2)`