Perform the Indicated Operation Using Trigonometric Form $( 2 + 2 i ) ( - 1 - i )$

Multiple Choice

Perform the indicated operation using trigonometric form.Leave the answer in trigonometric forms. $( 2 + 2 i ) ( - 1 - i )$

A) $- 2 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)$
B) $4 \left( \cos \frac { 3 \pi } { 2 } - i \sin \frac { 3 \pi } { 2 } \right)$
C) $4 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)$
D) $- 2 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right)$
E) $2 \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)$