Use a Sum or Difference Identity to Find the Exact $$\frac { \tan \frac { 7 \pi } { 24 } - \tan \frac { \pi } { 8 } } { 1 + \tan \frac { 7 \pi } { 24 } \tan \frac { \pi } { 8 } }$$

Multiple Choice

Use a sum or difference identity to find the exact value.
- $$\frac { \tan \frac { 7 \pi } { 24 } - \tan \frac { \pi } { 8 } } { 1 + \tan \frac { 7 \pi } { 24 } \tan \frac { \pi } { 8 } }$$

A) $\frac { 1 } { 2 }$
B) $\frac { \sqrt { 3 } } { 3 }$
C) $\sqrt { 3 }$
D) $\frac { \sqrt { 3 } } { 2 }$