Use the Figure Below to Find the Exact Value of the Given

Multiple Choice

Use the figure below to find the exact value of the given trigonometric expression $\cot \frac { x } { 2 }$

A) $\cot \frac { x } { 2 } = \frac { \sqrt { 2 } } { 10 }$
B) $\cot \frac { x } { 2 } = \frac { 1 } { 7 }$
C) $\cot \frac { x } { 2 } = 7$
D) $\cot \frac { x } { 2 } = \frac { 7 \sqrt { 2 } } { 10 }$
E) $\cot \frac { x } { 2 } = \frac { 7 } { 12 }$