Find the Standard Form of the Complex Number Shown Below $$11 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right)$$

question 69

Multiple Choice

Find the standard form of the complex number shown below.
$$11 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right)$$

• A) \(- \frac { 11 } { 2 } + \frac { 11 \sqrt { 3 } } { 2 } i\)
• B) \(\frac { 11 \sqrt { 3 } } { 4 } - \frac { 11 } { 4 } i\)
• C) \(- \frac { 2 } { 11 } + \frac { 2 \sqrt { 3 } } { 11 } i\)
• D) \(- \frac { 11 \sqrt { 3 } } { 2 } + \frac { 11 } { 2 } i\)
• E) \(\frac { 4 \sqrt { 3 } } { 11 } - \frac { 4 } { 11 } i\)

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