Question

Find the Cartesian coordinates (drawing a figure in each case) of the points whose polar coordinates are $(5,\frac{\pi }{2})$

Answer 1

Polar co-ordinate $(5,\frac{\pi }{2})$

Then, $r=5$ and $\theta =\frac{\pi }{2}$

$x=r\cos \theta =5\cos \left(\frac{\pi }{2}\right)=0$

$y=r\sin \theta =5\sin \left(\frac{\pi }{2}\right)=5$
$\theta$ to be measured in anti-clockwise.