How do you graph $r= 5 sin theta$ ?

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Answer 1 · 2016-10-20T09:41:24

$x^2+y^2-5y=0$

The relation between polar coordinates $(r,theta)$ and rectangular Cartesian coordinates $(x,y)$ are given by

$x=rcostheta$ and $y=rsintheta$ or $r^2=x^2+y^2$

Hence $r=5sintheta$ can be written as

$r^2=5rsintheta$

or $x^2+y^2=5y$

or $x^2+y^2-5y=0$

How do you graph r= 5 sin thetar= 5 sin theta?