Find the Exact Value $\cos \left( 2 \tan ^ { - 1 } \frac { 5 } { 12 } \right)$

Multiple Choice

Find the exact value. $\cos \left( 2 \tan ^ { - 1 } \frac { 5 } { 12 } \right)$

A) $13 / 6$
B) $5 / 6$
C) $13 / 119$
D) $169 / 119$
E) $119 / 116$