csc^2 (x)- csc(x) - 2=0
csc^2 (x)- csc(x) - 2=0 factor
(cscx + 1) (cscx -2) = 0 set each factor to 0
So either
cscx = -1 and this happens at -3pi/2 ± n 2pi where n is an integer
OR
cscx = 2 and this happens at pi/6 ± n 2pi and at 5pi/6 ± n2pi agian, where n is an integer