To evaluate \(\cos(44^\circ)\) to the nearest hundredth, we use a calculator:
\[ \cos(44^\circ) \approx 0.7193 \]
Rounding this to the nearest hundredth gives:
\[ \cos(44^\circ) \approx 0.72 \]
Thus, the final answer is:
\[ \cos(44^\circ) \approx 0.72 \]