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 $\displaystyle \theta$ in the interval $\displaystyle (0,2\pi)$ and a rose with an odd number of petals is traced out exactly once $\displaystyle \theta$ in the interval $\displaystyle (0,\pi)$
other hint
$\displaystyle r=\alpha sin(n\theta)$ if n is even then the rose have 2n petals and if it is odd then the rose have n petals