+0

The graph of $r = \cos 3 \theta$ is shown below.

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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 $$r = \cos 3 \theta$$ ?

Dec 4, 2018

#1
+98196
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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”)

Dec 4, 2018