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Find the Standard Form of the Complex Number Shown Below 11(cos⁡5π6+isin⁡5π6)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(cos⁡5π6+isin⁡5π6) 11 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right)


A) −112+1132i- \frac { 11 } { 2 } + \frac { 11 \sqrt { 3 } } { 2 } i
B) 1134−114i\frac { 11 \sqrt { 3 } } { 4 } - \frac { 11 } { 4 } i
C) −211+2311i- \frac { 2 } { 11 } + \frac { 2 \sqrt { 3 } } { 11 } i
D) −1132+112i- \frac { 11 \sqrt { 3 } } { 2 } + \frac { 11 } { 2 } i
E) 4311−411i\frac { 4 \sqrt { 3 } } { 11 } - \frac { 4 } { 11 } i

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