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.
- $\csc ( 2 \theta ) - \sec ( 2 \theta ) ( \tan \theta - 1 ) =$ ?

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