Step 1: Build the product step by step:
Let $P$ be the product. Multiply by $\sin\theta$: $\sin\theta\cos\theta = \frac{1}{2}\sin 2\theta$, then $\frac{1}{2}\sin2\theta\cos2\theta = \frac{1}{4}\sin4\theta$, and so on.
Step 2: Finish:
After using all five cosines, $P\sin\theta = \frac{1}{32}\sin 32\theta$. Because $\theta = \frac{\pi}{33}$, $\sin32\theta = \sin\left(\pi - \frac{\pi}{33}\right) = \sin\theta$.
So $P = \frac{1}{32}$, option (B).
Final Answer:
$\frac{1}{32}$.
\[ \boxed{\frac{1}{32}} \]