Use the Half-Angle Formulas to Simplify the Expression $- \sqrt { \frac { 1 + \cos 6 x } { 1 - \cos 6 x } }$

Multiple Choice

Use the half-angle formulas to simplify the expression. $- \sqrt { \frac { 1 + \cos 6 x } { 1 - \cos 6 x } }$

A) - |cot x|
B) - |3 tan x|
C) - |3 tan 6x|
D) - |3 cot 3x|
E) - |cot 3x|