Use the Properties of Inverse Trigonometric Functions to Evaluate $$\arctan \left[ \tan \left( \frac { 2 \pi } { 5 } \right) \right]$$

Multiple Choice

Use the properties of inverse trigonometric functions to evaluate $$\arctan \left[ \tan \left( \frac { 2 \pi } { 5 } \right) \right]$$ .

A) $\frac { \pi } { 5 }$
B) $\frac { 2 \pi } { 3 }$
C) $\frac { 5 \pi } { 2 }$
D) $\frac { 2 \pi } { 5 }$
E) $- \frac { 3 \pi } { 5 }$