Provide an Appropriate Response $f ( x ) = \ln ( \sin x )$

Multiple Choice

Provide an appropriate response.
-Find the absolute maximum and minimum values of $f ( x ) = \ln ( \sin x )$ on $\left[ \frac { \pi } { 6 } , \frac { 2 \pi } { 3 } \right]$ .

A) Maximum $= 0$ at $x = 0$ , minimum $= - \ln 2$ at $x = \frac { \pi } { 6 }$
B) Maximum $= 0$ at $x = \frac { \pi } { 2 }$ , minimum $= \ln \frac { \sqrt { 3 } } { 2 }$ at $x = \frac { 2 \pi } { 3 }$
C) Maximum $= 0$ at $x = \frac { \pi } { 2 }$ , minimum $= - \ln 2$ at $x = \frac { \pi } { 6 }$
D) Maximum $= 0$ at $x = \frac { \pi } { 2 }$ , minimum $= - \ln 2$ at $x = \frac { 2 \pi } { 3 }$