Answer:
B
Step-by-step explanation:
I love these! Ok, the expanded formula you need for this is
[tex]6(cos\frac{5\pi }{6}+sin\frac{5\pi }{6}i)[/tex]
From the unit circle we get the cos and sin of that angle and fill them in:
[tex]6(-\frac{\sqrt{3} }{2}+\frac{1}{2}i)[/tex]
Distributing through the parenthesis gives you
[tex]-\frac{6\sqrt{3} }{2}+\frac{6}{2}i[/tex]
which simplifies to
[tex]-3\sqrt{3}+3i[/tex]
