To find the sine and cosine of $\frac{\pi}{6}$ radians on the unit circle, we need to recall the standard angle values:

At $\frac{\pi}{6}$ radians:

$cos(\frac{\pi}{6}) = \frac{\sqrt{3}}{2}$

$sin(\frac{\pi}{6}) = \frac{1}{2}$

Thus, the cosine of $\frac{\pi}{6}$ radians is $\frac{\sqrt{3}}{2}$, and the sine of $\frac{\pi}{6}$ radians is $\frac{1}{2}$.

To determine the sine and cosine for the angle $frac{pi}{6}$ radians on the unit circle:

Remember that for $frac{pi}{6}$ radians:

$cos(frac{pi}{6}) = frac{sqrt{3}}{2}$

$sin(frac{pi}{6}) = frac{1}{2}$

So, the cosine of $frac{pi}{6}$ radians is $frac{sqrt{3}}{2}$, and the sine is $frac{1}{2}$.

For $frac{pi}{6}$ radians on the unit circle:

$cos(frac{pi}{6}) = frac{sqrt{3}}{2}$

$sin(frac{pi}{6}) = frac{1}{2}$

The cosine is $frac{sqrt{3}}{2}$ and the sine is $frac{1}{2}$.

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