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.

sec(7π/6)

Determine the exact value of the given function.

cos (5π/4)

Determine the value of the given trigonometric circular function with the help of a calculator. Round the answer to four decimal places.

csc (- 11.8637)

Considering the interval [0, π/2], find the approximate value of x. Express your answer in four decimal places.

sec x = 1.2937

A point $P\(\left\)(-\(\frac{11}{61}\),\(\frac{60}{61}\]\right\))$ is plotted on the unit circle for a certain angle $\(\theta\)$. Determine the values of the trigonometric functions $\(\sin\]\theta\)$, $\(\cos\]\theta\)$, $\(\tan\]\theta\)$, $\(\cot\]\theta\)$, $\(\sec\]\theta\)$, and $\(\csc\]\theta\)$ corresponding to this point.

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 $\(\left\)(x,y\(\right\))$ coordinates in the diagram or specify that the expression is undefined.

$\(\sin\]\frac{7\pi}{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 the trigonometric function at the given real number $t$ using the $\(\left\)(x,y\(\right\))$ coordinates in the diagram or specify that the expression is undefined.

$\(\tan\]\frac{\pi}{2}\)$