Answer
See explanation
Work Step by Step
To graph the curve
$r(t)$
in Geogebra use:
$\bf Curve(sin(3t)cos(t),t/4,sin(3t)sin(t),t,-2pi,2pi)$
The domain $-2\pi \leq t \leq 2\pi$ is kinda arbitrary since $t$ can be anything we just want to show the behavior of the curve.