Evaluate the Quantity Without Using a Calculator or Tables $\sin \left( \tan ^ { - 1 } ( - 1 ) \right)$

Multiple Choice

Evaluate the quantity without using a calculator or tables. $\sin \left( \tan ^ { - 1 } ( - 1 ) \right)$

A) $0$
B) $- \frac { \sqrt { 2 } } { 2 }$
C) $\frac { \sqrt { 2 } } { 2 }$
D) $\sqrt { 2 }$
E) $- \sqrt { 2 }$