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var('t'); a=n(randint(5,25)*.01,digits=2)
f=[cos(t)*cos(arctan(a*t)),
sin(t)*cos(arctan(a*t)),
sin(arctan(a*t))]
pretty_print(html('<p>$%s$</p>'%latex(f)))
from sage.plot.plot3d.shapes import Sphere
p=Sphere(1,alpha=.1)
p+parametric_plot3d(f,(-70,70),plot_points=300,
frame=False,thickness=5)
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