1. ## Rose Curves

Find the smallest interval necessary to get a complete graph for the rose curve, 4sin3(theta)? How do I do these problems in general?

Thanks

2. Originally Posted by heyy
Find the smallest interval necessary to get a complete graph for the rose curve, 4sin3(theta)? How do I do these problems in general?

Thanks
a rose with an even number of petals is traced out exactly once as $\theta$ in the interval $(0,2\pi)$ and a rose with an odd number of petals is traced out exactly once $\theta$ in the interval $(0,\pi)$

other hint

$r=\alpha sin(n\theta)$ if n is even then the rose have 2n petals and if it is odd then the rose have n petals