Write the complex number in trigonometric form $$r ( \cos \theta + i \sin \theta )$$ with θ in the interval [0°, 360°).
-$8 \sqrt { 3 } + 8 \mathrm { i }$
A) $16 \left( \cos 300 ^ { \circ } + i \sin 300 ^ { \circ } \right)$
B) $16 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right)$
C) $16 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right)$
D) $16 \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right)$

Question

Quizplus · Accepted Answer

The modulus $ r $ is $ 16 $ and the argument $ \theta $ is $ 30^\circ $ because the complex number is in the first quadrant.

Write the Complex Number in Trigonometric Form r(cos⁡θ+isin⁡θ)r ( \cos \theta + i \sin \theta )r(cosθ+isinθ)

Write the Complex Number in Trigonometric Form $r ( \cos \theta + i \sin \theta )$