posted by ethan .
Find the EXACT VALUE of csc(-11pi/12)
If that angle is in radians, it is easy.
A full circle has 2PI radians...or 360 deg
so 22PI/24 is the same as 22*15 deg, or -30 deg. The 30 deg triangle is well known. The sin is 1/2, so the csc is 2
Figure out the sign of the csc from what quadrant it is in.