How do you convert $(0, 8)$ to polar form?

Question

3696 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-03T09:06:56

Polar coordinates for Cartesian coordinates $(0,8)$ are $(8,pi/2)$

If $(x,y)$ in Cartesian form and $(r,theta)$ is in polar form the relation between them is as follows:

$x=rcostheta$ , $y=rsintheta$ , $r^2=x^2+y^2$ and $tantheta=y/x$

Here $x=0$ and $y=8$ , hence

$r^2=0^2+8^2=0+64=64$ or $r=8$

$costheta=0/8=0$ and $sintheta=8/8=1$

Hence $theta=pi/2$

Hence polar coordinates for Cartesian coordinates $(0,8)$ are $(8,pi/2)$

How do you convert (0, 8)(0, 8) to polar form?