Use the Properties of Inverse Trigonometric Functions to Evaluate $\arcsin \left[ \sin \left( \frac { 4 \pi } { 9 } \right) \right]$

Multiple Choice

Use the properties of inverse trigonometric functions to evaluate $\arcsin \left[ \sin \left( \frac { 4 \pi } { 9 } \right) \right]$ .

A) $- \frac { 5 \pi } { 9 }$
B) $\frac { 4 \pi } { 5 }$
C) $\frac { 9 \pi } { 4 }$
D) $\frac { 4 \pi } { 9 }$
E) $\frac { \pi } { 9 }$