# Thread: polar and rectangular coordinates

1. ## polar and rectangular coordinates

hello everyone i hope your all doing well , i was hoping i could get a little help on solving this, heres the question
Polar coordinates of a point are given. Find the rectangular coordinates of the point.
heres the point given (fyi i cant figure out how to do this with the math thing) 5,2pi over 3 how would i go about solving this? any help would be awesome.

2. Hello, Luke!

Polar coordinates: . $P\left(5,\:\frac{2\pi}{3}\right)$
Find the rectangular coordinates of $P.$

Before you were assigned this problem,
. . you should have been given the covernsions: . $\begin{array}{ccc}x &=&r\cos\theta \\ y &=&r\sin\theta\end{array}$
Just plug in: . $r\,=\,5,\;\theta\,=\,\frac{2\pi}{3}$

3. $\frac{2\pi}{3} = 120degrees$