Cos pi/4 * sin pi/6

To calculate \( \cos \frac{\pi}{4} \cdot \sin \frac{\pi}{6} \), we can evaluate each trigonometric function separately.

1. \( \cos \frac{\pi}{4} = \frac{\sqrt{2}}{2} \)
2. \( \sin \frac{\pi}{6} = \frac{1}{2} \)

Now, multiply the results together:

\[ \cos \frac{\pi}{4} \cdot \sin \frac{\pi}{6} = \frac{\sqrt{2}}{2} \cdot \frac{1}{2} \]

\[ = \frac{\sqrt{2}}{4} \]

So, \( \cos \frac{\pi}{4} \cdot \sin \frac{\pi}{6} = \frac{\sqrt{2}}{4} \).