Complete the Identity $\frac { \sin ( 2 \theta ) + \sin ( 4 \theta ) } { \cos ( 5 \theta ) + \cos ( 7 \theta ) } = ?$

Multiple Choice

Complete the identity.
- $\frac { \sin ( 2 \theta ) + \sin ( 4 \theta ) } { \cos ( 5 \theta ) + \cos ( 7 \theta ) } = ?$

A) $\frac { \cos ( 6 \theta ) } { \sin ( 12 \theta ) }$
B) $\frac { \sin ( 3 \theta ) } { \cos ( 6 \theta ) }$
C) $\tan ( 3 \theta ) + \tan ( 6 \theta )$
D) $\frac { \sin ( 6 \theta ) } { \cos ( 12 \theta ) }$