Given the equation $r=4\cos(3\theta)$, how can I find the domain of each petal? Help!
[Math] How to find the domain $\theta$ for each petal in the Polar graph $r=4\cos(3\theta)$
polar coordinates
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Best Answer
This is the polar graph of your function $r=4\cos(3\theta)$:
As mentioned in the comment from @coffeemath; by domain I will assume that you mean the values for $\theta$ to make each petal. So the interval in this case is simply $\cfrac{2\pi}{3}$ for each petal as the full domain ($2\pi$) must be divided equally across each petal. So this means that $-\cfrac{\pi}{6} \le \theta \le \cfrac{\pi}{6}$ is the domain for the first petal (centred on the $x$-axis).