Find the Product $( 6 + 6 i ) ( 2 - 2 i )$

Multiple Choice

Find the product $( 6 + 6 i ) ( 2 - 2 i )$ using trigonometric forms.Leave the result in trigonometric form.

A) $12 \left( \cos \left( 45 ^ { \circ } \right) + i \sin \left( 45 ^ { \circ } \right) \right)$
B) $12 \left( \cos \left( 0 ^ { \circ } \right) + i \sin \left( 0 ^ { \circ } \right) \right)$
C) $24 \left( \cos \left( - 45 ^ { \circ } \right) + i \sin \left( - 45 ^ { \circ } \right) \right)$
D) $24 \left( \cos \left( 45 ^ { \circ } \right) + i \sin \left( 45 ^ { \circ } \right) \right)$
E) $24 \left( \cos \left( 0 ^ { \circ } \right) + i \sin \left( 0 ^ { \circ } \right) \right)$