Write the Complex Number in the Form a + Bi $4 \left( \cos - 135 ^ { \circ } + i \sin - 135 ^ { \circ } \right)$

Multiple Choice

Write the complex number in the form a + bi.
- $4 \left( \cos - 135 ^ { \circ } + i \sin - 135 ^ { \circ } \right)$

A) $- 2 \sqrt { 2 } - 2 \sqrt { 2 } i$
B) $- \sqrt { 2 } - \sqrt { 2 } i$
C) $- \sqrt { 2 } + \sqrt { 2 } i$
D) $- 2 \sqrt { 2 } + 2 \sqrt { 2 } i$