Answer
The graphs of $r=a\sin n\theta $ and $r=a\cos n\theta $, $a\ne 0$, are called rose curves. If $n$ is even, the rose has $2n$ petals. If $n$ is odd, the rose has $n$ petals.
Work Step by Step
The graphs of $r=asinn\theta $ and $r=a\cos n\theta $, $a\ne 0$, are like rose curves and the number of petals depends on the value of $n$. The number of petals will be two times $n$, if n is even and the number of petals will be the same as $n$ if n is odd.
For example, if $r=asin4\theta $, then the number of petals will be 8, and if $r=a\cos 3\theta $, then the number of petals will be 3.
