Find the Cartesian co-ordinates of points whose polar co-ordinate… - Vidyadip

Question

Find the Cartesian co-ordinates of points whose polar co-ordinates are $: (3, 90^\circ)$

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Answer

$(r, \theta)=\left(3,90^{\circ}\right)$
Using $x=r \cos \theta$ and $y=r \sin \theta$, where $(x, y)$ are the required cartesian co-ordinates, we get
$ x=3 \cos 90^{\circ} \text { and } y=3 \sin 90^{\circ}$
$\therefore x=3(0)=0 \text { and } y=3(1)=3$
$\therefore$ the required cartesian co-ordinates are $(0,3)$.

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