Sketch $r=\cos(5 \theta)$? $r$ as a function of $\theta$ in cartesian coordinates

Question

I think I have to plug in numbers into $\theta$ such as 0 and $\pi/6$. What kind of numbers should I plug in ?

Sketch $r=\cos(5 \theta)$? $r$ as a function of $\theta$ in cartesian coordinates

Answer 1

r=cos(n theta) is n leaf flower but when n is even it is 2n leaf flower

Answer 2

The period of $\cos \theta$ is $2\pi$, so if you were plotting $r=\cos \theta$ you would plug in $\theta$s in that range. Because the period of $\cos 5\theta$ is $\frac {2\pi}{5}$, your points should cover that range-that is, be denser than without the factor $5$.