Use Identities to Find the Exact Value $\sin \left( x + 45 ^ { \circ } \right)$

Multiple Choice

Use Identities to find the exact value.
- $\sin \left( x + 45 ^ { \circ } \right)$

A) $\sin x$
B) $\frac { \sqrt { 2 } } { 2 } \cos x + \frac { \sqrt { 2 } } { 2 } \sin x$
C) $- \cos x$
D) $\frac { \sqrt { 2 } } { 2 } \cos x - \frac { \sqrt { 2 } } { 2 } \sin x$