Sinusoidal Spiral Pedal Curve

$\begin{displaymath} r=a^{(1/n)} [\cos(nt)]^{1/n} \end{displaymath}$

with Pedal Point at the center is another Sinusoidal Spiral

$\displaystyle x$	$\textstyle =$	$\displaystyle \cos^{1+1/n}(nt)\cos[(n+1)t]$
$\displaystyle y$	$\textstyle =$	$\displaystyle \cos^{1+1/n}(nt)\sin[(n+1)t].$