Find the Exact Value of the Expression, If Possible $$\tan ^ { - 1 } \left( \tan \frac { 10 \pi } { 11 } \right)$$

Multiple Choice

Find the exact value of the expression, if possible. Do not use a calculator.
- $$\tan ^ { - 1 } \left( \tan \frac { 10 \pi } { 11 } \right)$$

A) $- \frac { \pi } { 11 }$
B) $\frac { 10 \pi } { 11 }$
C) $\frac { 12 \pi } { 11 }$
$D ) = \frac { 12 \pi } { 11 }$