# What is the graph of r=a cos 6theta?

Jan 25, 2017

#### Answer:

A rose curve with 12 petals.

#### Explanation:

$r = a \cos n \theta$ gives a rose curve with $n$ petals if $n$ is odd and $2 n$ petals if $n$ is even. If $n$ is irrational it fills the entire disk $r \le a$.