Hey guys,

The basic form of a lemniscate is $\displaystyle r^2=sin(theta) $ or $\displaystyle r^2=cos(theta)$

if taking root on both sides of the equation,than it will become

$\displaystyle r= sqrt(cost theta)$

now since square root only has positive values ,than how can a lemniscate be drawn if the value of cos theta becomes negative inside the square root??