Solve the Problem $$\begin{array} { l } z = 1 - i \\w = 1 - \sqrt { 3 } i\end{array}$$

Multiple Choice

Solve the problem. Leave your answer in polar form.
- $$\begin{array} { l } z = 1 - i \\w = 1 - \sqrt { 3 } i\end{array}$$
Find $\frac { z } { w }$ .

A) $\frac { \sqrt { 2 } } { 2 } \left( \cos 75 ^ { \circ } + i \sin 75 ^ { \circ } \right)$
B) $\frac { 1 } { 2 } \left( \cos 75 ^ { \circ } + \mathrm { i } \sin 75 ^ { \circ } \right)$
C) $\frac { \sqrt { 2 } } { 2 } \left( \cos 15 ^ { \circ } + i \sin 15 ^ { \circ } \right)$
D) $\frac { 1 } { 2 } \left( \cos 15 ^ { \circ } + \mathrm { i } \sin 15 ^ { \circ } \right)$