For a given polar function, how do I determine the exact domain such that I only get the specific petals I want? For instance, I typed in some domains for this particular polar function by setting when $\sin x = 0$, the solving for my $\theta$ for those intervals when the sine function is 0. For instance, the function:
$$r=\sin (4\theta +1.35)$$ $$\sin x=0, x=0,\pi, 2\pi, 3\pi,....$$ $$4\theta+1.35=n\pi, n\in \mathbb{Z}$$
I cannot seem to get consecutive petals (and instead get petals appearing on random quadrants) even though the domain of where the sine function is equal to zero is consecutive ($0,\pi,2\pi,...$). So I was wondering, how do I specifically get the parts of the petal that I want ? is there a way of specifically setting the domain such that this can occur ?