Find the exact circular function value:
csc(-11pi/6)
The first thing I would notice is that -11/6= -1- 5/6= -1- 1/2- 1/3= -3/2- 1/3. So to go around the unit circle $-\frac{11}{6}\pi$ counter clock wise $(-3/2)\pi$. to the point (-1, 0). The point we want is another $\frac{1}{3}\pi$ up so $\pi/2- \pi/3= \pi/6$ radians or 30 degrees down from the 0 point.