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Trigonometry

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Moderate

Convert Trig Complex Number to Standard Form, Radian Measure, Cos

TRIG-MM$HRR

Write the complex number in standard form $a+bi$.

$$z=4\left[ \cos { \left( \frac { 5\pi }{ 6 } \right) } +i\sin { \left( \frac { 5\pi }{ 6 } \right) } \right]]$$

A

$-2\sqrt { 3 } +2i$

B

$2\sqrt { 3 } +2i$

C

$4i$

D

$-2\sqrt { 2 } +2i\sqrt { 2 } $