<|system|>
Find $\cos \frac{\pi}{3}.$</s>.
<|user|>
Can you answer based on context?
<|assistant|>
Converting to degrees,
\[\frac{\pi}{3} = \frac{180^\circ}{\pi} \cdot \frac{\pi}{3} = 60^\circ.\]Then $\cos 60^\circ = \frac{1}{2}.$