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Perform the Indicated Operation Using Trigonometric Form (44i)(33i)( - 4 - 4 i ) ( - 3 - 3 i )

Question 97

Multiple Choice

Perform the indicated operation using trigonometric form. Leave answer in trigonometric form.
(44i) (33i) ( - 4 - 4 i ) ( - 3 - 3 i )


A) 12(cos5π4+isin5π4) - 12 \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)
B) 24(cos3π2+isin3π2) - 24 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)
C) 12(cosπ2+isinπ2) 12 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)
D) 24(cosπ2+isinπ2) 24 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)
E) 12(cos3π4+isin3π4) 12 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right)

Correct Answer:

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