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Perform the Indicated Operation Using Trigonometric Form (8+8i)(2+2i)( 8 + 8 i ) ( 2 + 2 i )

Question 33

Multiple Choice

Perform the indicated operation using trigonometric form. Leave answer in trigonometric form.
(8+8i) (2+2i) ( 8 + 8 i ) ( 2 + 2 i )


A) −16(cos⁡5π4+isin⁡5π4) - 16 \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)
B) −32(cos⁡3π2+isin⁡3π2) - 32 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)
C) 16(cos⁡π2+isin⁡π2) 16 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)
D) 32(cos⁡π2+isin⁡π2) 32 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)
E) 16(cos⁡3π4+isin⁡3π4) 16 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right)

Correct Answer:

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