Just use parametric equation for that and plot on it.

var('t,x,y,p') x=2*sin(t)*(e^(cos(t))-2*cos(4*t)-(sin(t/12))^5) y=2*cos(t)*(e^(cos(t))-2*cos(4*t)-(sin(t/12))^5) p=parametric_plot((x,y),(t,-2*pi,2*pi),fill=True,fillcolor='yellow') p.show()

Just use parametric equation for that and plot on it.

var('t,x,y,p') x=2*sin(t)*(e^(cos(t))-2*cos(4*t)-(sin(t/12))^5) y=2*cos(t)*(e^(cos(t))-2*cos(4*t)-(sin(t/12))^5) p=parametric_plot((x,y),(t,-2*pi,2*pi),fill=True,fillcolor='yellow') p.show()

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