Use the Fundamental Identities to Simplify the Expression $\sin \frac { \pi } { 15 } \cos \frac { 4 \pi } { 15 } + \cos \frac { \pi } { 15 } \sin \frac { 4 \pi } { 15 }$

Multiple Choice

Use the fundamental identities to simplify the expression.
- $\sin \frac { \pi } { 15 } \cos \frac { 4 \pi } { 15 } + \cos \frac { \pi } { 15 } \sin \frac { 4 \pi } { 15 }$

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