The graph of \(r = \cos 3 \theta\) is shown below.If we plot the graph of \(r = \cos 3 \theta\) for\(0 \le \theta \le M\) , then what is the smallest value of M that still produces the entire graph of \(r = \cos 3 \theta\) ?
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”)
+490 
