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

Question 41

Multiple Choice

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


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

Correct Answer:

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