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 the trigonometric function at the given real number t using the (x,y) coordinates in the diagram or specify that the expression is undefined.

$\cot(\frac{4\pi}{3})$

• A. $\sqrt3$
• B. $-\sqrt3$
• C. $\frac{\sqrt3}{3}$
• D. $-\frac{\sqrt3}{3}$

Answer: (C)