# Polar coordinates of a point are given (4, 90^circ). Find the rectangular coordinates of each point.

Polar coordinates of a point are given $\left(4,{90}^{\circ }\right)$. Find the rectangular coordinates of each point.
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tabuordg
Given polar coordinates,
$\left(4,{90}^{\circ }\right)$
To find the rectangular coordinates of the point.
We have,
$\left(r,\theta \right)=\left(4,{90}^{\circ }\right)$
Conversion formula :
If $\left(r,\theta \right)$are polar coordinates and (x, y) are rectangular coordinates,
Then $x=rcos\theta ,y=rsin\theta$
$x=4cos\left({90}^{\circ }\right)=0$
$y=4sin\left({90}^{\circ }\right)=4\left(1\right)=4$
So the rectangular coordinates is (0, 4)