The view of the trefoil knot shown in Figure 8 is
Chapter 13, Problem 13.46(choose chapter or problem)
The view of the trefoil knot shown in Figure 8 is accurate, but it doesnt reveal the whole story. Use the parametric equations to sketch the curve by hand as viewed from above, with gaps indicating where the curve passes over itself. Start by showing that the projection of the curve onto the -plane has polar coordinates and , so varies between 1 and 3. Then show that has maximum and minimum values when the projection is halfway between and
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