Write the complex number in the form a + bi.
-$6 \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right)$
A) $- 3 \sqrt { 3 } + 3 i$
B) $3 \sqrt { 3 } - 3 i$
C) $3 \sqrt { 3 } + 3 i$
D) $- 3 \sqrt { 3 } - 3 \mathrm { i }$

Question

Quizplus · Accepted Answer

The angle 330° corresponds to $\cos 330° = \sqrt{3}/2$ and $\sin 330° = -1/2$. Thus, the complex number is $6(\sqrt{3}/2 - i/2) = 3\sqrt{3} - 3i$.

Write the Complex Number in the Form a + Bi 6(cos⁡330∘+isin⁡330∘)6 \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right)6(cos330∘+isin330∘)

Write the Complex Number in the Form a + Bi $6 \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right)$