Evaluate the Quantity Without Using a Calculator or Tables $\tan \left( \arccos \frac { 12 } { 13 } \right)$

Multiple Choice

Evaluate the quantity without using a calculator or tables. $\tan \left( \arccos \frac { 12 } { 13 } \right)$

A) $\frac { 12 } { 13 }$
B) $\frac { 5 } { 12 }$
C) $\frac { 5 } { 13 }$
D) $\frac { 13 } { 12 }$
E) $\frac { 13 } { 5 }$