Perform the indicated operation using trigonometric form. Leave answer in trigonometric form.
$$( - 4 - 4 i ) ( - 3 - 3 i )$$
A) $- 12 \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)$
B) $- 24 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)$
C) $12 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)$
D) $24 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)$
E) $12 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right)$

Question

Quizplus · Accepted Answer

The product of the magnitudes is $24$ and the sum of the angles is $\pi/2$, so the trigonometric form is $24 \left( \cos \frac{\pi}{2} + i \sin \frac{\pi}{2} \right)$.

Perform the Indicated Operation Using Trigonometric Form (−4−4i)(−3−3i)( - 4 - 4 i ) ( - 3 - 3 i )(−4−4i)(−3−3i)

Perform the Indicated Operation Using Trigonometric Form $( - 4 - 4 i ) ( - 3 - 3 i )$