# Convert from polar to rectangular coordinates: (2,(pi/2))Rightarrow (x,y)

Convert from polar to rectangular coordinates: $\left(2,\left(\pi /2\right)\right)⇒\left(x,y\right)$
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Obiajulu
We have to convert polar coordinates to rectangular polar coordinates are Now we have to change it in rectangular coordinates i.e. in terms of x and y So, we know that $x=r\mathrm{cos}\theta$
$y=r\mathrm{sin}\theta$ put values of r and theta Now, we have $x=r\mathrm{cos}\left(\theta \right)$
$x=2\ast \mathrm{cos}\left(\pi 2\right)$
$x=2\ast 0$
$x=0$
$y=r\mathrm{sin}\left(\theta \right)$
$y=2\ast \mathrm{sin}\left(\pi 2\right)$
$y=2$ So rectangular coordinates are $\left(x,y\right)=\left(0,2\right)$