Solve the Equation for X, Where X Is Restricted to the Given

Multiple Choice

Solve the equation for x, where x is restricted to the given interval.
- $$y = 4 \cot \frac { x } { 2 } , \text { for } x \text { in } ( 0,2 \pi )$$

A) $x = \frac { 1 } { 2 } \operatorname { arccot } 4 y$
B) $x = \frac { 1 } { 2 } \operatorname { arccot } \frac { y } { 4 }$
C) $x = 2 \operatorname { arccot } 4 y$
D) $x = 2 \operatorname { arccot } \frac { y } { 4 }$