Question

Question #612e0

Answer 1

`(-2sqrt3, 2)`

Explanation:

You can write a rectangular coordinate `(x,y)` as a polar coordinate `(r,theta)` by using the following formulas:

`x=r cos theta`
`y=r sin theta`

In this case, `r=4` and `theta=150°`.

`x=4 cos 150° = 4 *-sqrt3/2 = -2sqrt3`
`y=4 sin 150° = 4*1/2=2`

So, the rectangular coordinate is `(-2sqrt3, 2)`.