Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Complete the identity.
- $$1 - \frac { 1 } { 2 } \sin ( 2 \theta ) = ?$$

A) $\frac { \sin \theta \cos ( 2 \theta ) } { \sin \theta + \cos \theta }$
B) $\frac { \sin ^ { 3 } \theta + \cos ^ { 3 } \theta } { \sin \theta + \cos \theta }$
C) $\frac { \sin ^ { 3 } \theta - \cos ^ { 3 } \theta } { \sin \theta + \cos \theta }$
D) $\frac { \sin \theta \cos \theta \cos ( 2 \theta ) } { \sin \theta + \cos \theta }$