##240^o## has a reference angle of ##60^o## as indicated in the image below. A ##60^o## angle is a basic angle from one of the common triangles:
From their definitions:
##sin(240^o) = -sqrt(3)/2##
##cos(240^o) = -1/2##
##tan(240^o) = sqrt(3)##
##csc(240^o) = – 2/sqrt(3)##
##sec(240^o) = -2##
##cot(240^o) = 1/sqrt(3)##