We need to set up a table of values to see what is happening. We give each point a "point number" so it is easier to understand when we graph the curve.

t 0 π/4 π/2 3π/4 π 5π/4 3π/2 7π/4 2π
x 2 1.4 0 -1.4 -2 -1.4 0 1.4 2
y -0.6 0.1 0.7 1.0 0.7 -0.1 -0.8 -1.0 -0.7
Pt
no.		 1 2 3 4 5 6 7 8 9

Here is the resulting curve, with the numbered points included. Point 1 is actually equivalent to Point 9, since we have done one complete cycle of the ellipse as t goes from 0 to 2π:

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