Use the Given Triangles to Evaluate the Expression $\csc 60 ^ { \circ } - \sin 45 ^ { \circ }$

Multiple Choice

Use the given triangles to evaluate the expression. Rationalize all denominators.
- $\csc 60 ^ { \circ } - \sin 45 ^ { \circ }$

A) $\frac { 4 \sqrt { 3 } - 3 \sqrt { 2 } } { 6 }$
B) $\frac { 4 - \sqrt { 2 } } { 2 }$
C) $\frac { 4 - \sqrt { 3 } } { 2 }$
D) $\frac { 4 \sqrt { 2 } - 3 \sqrt { 3 } } { 6 }$