We have to find the values of x for which sin x = -1/2 in the range [0, 2*pi)

sin x = -1/2

=> x = arc sin (-1/2)

x = 210 degrees

x = 330 degrees

**The values of x in the range [0, 2*pi) for which sin x = -1/2 are x = 210 degrees and x= 330 degrees.**