Find the Indefinite Integral $\int \frac { \cos ( 2 \theta ) } { \sin ( 2 \theta ) } d \theta$

Multiple Choice

Find the indefinite integral. $\int \frac { \cos ( 2 \theta ) } { \sin ( 2 \theta ) } d \theta$

A) $\frac { 1 } { 2 } \ln | \tan ( 2 \theta ) | + C$
B) $\frac { 1 } { 2 } \ln | \sin ( 2 \theta ) | + C$
C) $\frac { 1 } { 2 } \ln | \cos ( 2 \theta ) | + C$
D) $2 \ln | \sin ( 2 \theta ) | + C$
E) $2 \ln | \cos ( 2 \theta ) | + C$