# How do you change the polar coordinates of (5, pi ) to rectangular coordinates?

Mar 23, 2016

Coordinates are $\left(- 5 , 0\right)$.

#### Explanation:

If we have polar coordinates $\left(r , \theta\right)$, respective rectangular coordinates are given by $\left(r \cos \theta , r \sin \theta\right)$.

Hence, rectangular coordinates of the polar coordinates $\left(5 , \pi\right)$ are

$\left(5 \cos \pi , 5 \sin \pi\right)$ and as $\cos \pi = - 1$ and $\sin \pi = 0$

Coordinates are $\left(5 \times \left(- 1\right) , 5 \times 0\right)$ or $\left(- 5 , 0\right)$.