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

Question

Quizplus · Accepted Answer

The complex number in rectangular form is obtained by evaluating the cosine and sine functions. For $330^\circ$, $\cos 330^\circ = \sqrt{3}/2$ and $\sin 330^\circ = -1/2$. Multiplying these by 6 gives $3\sqrt{3}$ for the real part and $-3$ for the imaginary part, resulting in $3\sqrt{3} - 3i$.

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

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