The graph of r=cos3θ is shown below.If we plot the graph of r=cos3θ for0≤θ≤M , then what is the smallest value of M that still produces the entire graph of r=cos3θ ?
Note......
When θ = 0 r = 3
When θ = pi / 6, r = 0
And this traces out (1/2) of a "leaf"
So....each pi/6 rads will do the same
So.....6 of these will trace out 3 full "leaves"
So
6 (pi/6) = pi = M = (180”)
+489 
