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Write the Complex Number in Trigonometric Form z=2(cos⁡5π4−isin⁡5π4)z = \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } - i \sin \frac { 5 \pi } { 4 } \right)

Question 7

Multiple Choice

Write the complex number in trigonometric form.​  Write the complex number in trigonometric form.​   ​ A)   z = \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } - i \sin \frac { 5 \pi } { 4 } \right)   B) ​  Z = 6 ( \cos \pi + i \sin \pi )   C) ​  Z = 6 \left( \cos \frac { \pi } { 2 } - i \sin \frac { \pi } { 2 } \right)   D) ​  Z = 6 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } - i \sin \frac { 5 \pi } { 4 } \right)   E) ​  Z = 6 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right) ​


A) z=2(cos⁡5π4−isin⁡5π4) z = \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } - i \sin \frac { 5 \pi } { 4 } \right)
B) ​ Z=6(cos⁡π+isin⁡π) Z = 6 ( \cos \pi + i \sin \pi )
C) ​ Z=6(cos⁡π2−isin⁡π2) Z = 6 \left( \cos \frac { \pi } { 2 } - i \sin \frac { \pi } { 2 } \right)
D) ​ Z=62(cos⁡5π4−isin⁡5π4) Z = 6 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } - i \sin \frac { 5 \pi } { 4 } \right)
E) ​ Z=62(cos⁡5π4+isin⁡5π4) Z = 6 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)

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