To evaluate \(\cos(56^\circ)\), you can use a calculator to find the cosine of the angle.
Using a calculator, we find:
\[ \cos(56^\circ) \approx 0.5592 \]
Rounding this to the nearest hundredth gives:
\[ \cos(56^\circ) \approx 0.56 \]
So, the answer is:
\[ \boxed{0.56} \]