# How do you find the rectangular coordinates given (3, pi/2)?

$\left(0 , 3\right)$

#### Explanation:

The rectangular or cartesian coordinates $\left(x , y\right)$ of the given point $\left(3 , \setminus \frac{\pi}{2}\right) \setminus \equiv \left(r , \setminus \theta\right)$ are given as

$x = r \setminus \cos \setminus \theta = 3 \setminus \cos \left(\setminus \frac{\pi}{2}\right) = 0$

$y = r \setminus \sin \setminus \theta = 3 \setminus \sin \left(\setminus \frac{\pi}{2}\right) = 3$

$\setminus \therefore \left(x , y\right) \setminus \equiv \left(0 , 3\right)$