Determine the domain of f(x)=ln(sin(x)−12)f(x) = \ln(\sin(x) - \frac{1}{2})f(x)=ln(sin(x)−21).
(π6+2kπ,5π6+2kπ)(\frac{\pi}{6} + 2k\pi, \frac{5\pi}{6} + 2k\pi)(6π+2kπ,65π+2kπ)
(−π6+2kπ,7π6+2kπ)(-\frac{\pi}{6} + 2k\pi, \frac{7\pi}{6} + 2k\pi)(−6π+2kπ,67π+2kπ)
[π6+2kπ,5π6+2kπ][\frac{\pi}{6} + 2k\pi, \frac{5\pi}{6} + 2k\pi][6π+2kπ,65π+2kπ]
(π3+2kπ,2π3+2kπ)(\frac{\pi}{3} + 2k\pi, \frac{2\pi}{3} + 2k\pi)(3π+2kπ,32π+2kπ)