Question

Lay down the positions of the points whose polar coordinates are $(a,\frac{\pi }{2})$

Answer 1

Given polar co-ordinates are $(a,\frac{\pi }{2})$
Then, $r=a$ and $\theta =\frac{\pi }{2}$
$x=rcos\theta =a\times cos\frac{\pi }{2}=0$
$y=rsin\theta =asin\frac{\pi }{2}=a$
Thus, the Cartesian co-ordinates are $(0,a)$.