Given the family of parametric equations
x = (a + cos(3t)) cos(t)
y = (a + cos(3t)) sin(t)
with parameter a, draw the graphs for various values of a
between -2 and 2.
The following LiveMath notebook contains an animation which draws the desired
graphs as a ranges from -2 to 2 in steps of 0.2.
In addition, you can change the values of the constants in the equations and
see the effect on the graph. View an
animation to see how this can be done.