Ok this is my working for it:
cosec(x.pi/6) = 1/sin(x.pi/6)
table of values:
x=1, y= 1/sin(pi/6) = 1/(1/2) = 2
x = 2, y = 1/sin(2pi/6) = 1/sin(pi/3) = 1/([root3]/2) = 2/[root3]
x = 3, y = 1/sin(pi/2) = 1/1 = 1
ok so then to the simpsons rule formula:
integral of cosec(x.pi/6)...