(578,#37) Find all points of intersection of the curves .

Solution:

From the graph, one can see there are three intersection points.

a) Intersection Point #1,#2

therefore, the intersection points are (1/2,Pi/3),(1/2,5*Pi/3)

b) Intersection Point #3

The curves also intersect at the origin for different values of theta.

Maple code

by:sh