Find the Standard Form of the Complex Number Shown Below $3 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)$

question 161

Multiple Choice

Find the standard form of the complex number shown below. $3 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)$

• A) \(- \frac { 3 \sqrt { 3 } } { 4 } - \frac { 3 } { 4 } i\)
• B) \(- \frac { 2 } { 3 } - \frac { 2 \sqrt { 3 } } { 3 } i\)
• C) \(- \frac { 4 \sqrt { 3 } } { 3 } - \frac { 4 } { 3 } i\)
• D) \(- \frac { 3 \sqrt { 3 } } { 2 } - \frac { 3 } { 2 } i\)
• E) \(- \frac { 3 } { 2 } - \frac { 3 \sqrt { 3 } } { 2 } i\)

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