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Perform the Indicated Operation Using Trigonometric Form (3+3i)(5+5i)( 3 + 3 i ) ( 5 + 5 i )

Question 10

Multiple Choice

Perform the indicated operation using trigonometric form. Leave answer in trigonometric form.
(3+3i) (5+5i) ( 3 + 3 i ) ( 5 + 5 i )


A) 15(cos5π4+isin5π4) - 15 \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)
B) 30(cos3π2+isin3π2) - 30 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)
C) 15(cosπ2+isinπ2) 15 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)
D) 30(cosπ2+isinπ2) 30 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)
E) 15(cos3π4+isin3π4) 15 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right)

Correct Answer:

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