# What is the Cartesian form of ( 3, (-7pi)/2 ) ?

May 13, 2018

The Cartesian form $\left(x , y\right) = \left(0 , 3\right)$

#### Explanation:

show below:

$\left(r , \theta\right) = \left(3 , \frac{- 7 \pi}{2}\right)$

$x = r \cdot \cos \theta = 3 \cdot \cos \left[\frac{- 7 \pi}{2}\right] = 3 \cdot \cos \left[\frac{7 \pi}{2}\right] = 0$

$y = r \cdot \sin \theta = 3 \cdot \sin \left[\frac{- 7 \pi}{2}\right] = 3 \cdot 1 = 3$

The Cartesian form $\left(x , y\right) = \left(0 , 3\right)$