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|