Determine the exact value of the given function.

sin (π/6)

The circle with a radius of one unit is partitioned into twelve equal arcs, where each arc corresponds to specific $t$-values. Determine the value of each trigonometric function at the given real number $t$ using the $(x,y)$ coordinates in the diagram or specify that the expression is undefined.

$\sin \frac{\pi }{6}$

Using the unit circle, determine the value of $\sin\frac{11\pi}{6}$.