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

question 75

Multiple Choice

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) \(Z = 6 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)\)

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