Intersection points Points at which the graphs of r = f(?) and r = g(?) intersect must be determined carefully. Solving f(?) = g(?) identifies some—but perhaps not all—intersection points. The reason is that the curves may pass through the same point for different values of ?. Use analytical methods and a graphing utility to find all the intersection points between the following curves.r2 = 4 cos ? and r = 1 + cos ?

Solution 96EStep 1:If we solve the system of polar equations = 4 cos and r = 1 + cos we find the intersection point (2, 0). Let’s try converting the equations into rectangular coordinates and then solving