Write the complex number in trigonometric form $$r ( \cos \theta + i \sin \theta )$$ with θ in the interval [0°, 360°).
-$- 6$
A) $6 \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right)$
B) $6 \left( \cos 180 ^ { \circ } + i \sin 180 ^ { \circ } \right)$
C) $6 \left( \cos 0 ^ { \circ } + i \sin 0 ^ { \circ } \right)$
D) $6 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right)$

Question

Quizplus · Accepted Answer

The complex number $-6$ can be represented as $-6 + 0i$, which lies on the negative x-axis in the complex plane. The angle corresponding to this direction is $180^\circ$, and the magnitude (r) is 6. Therefore, the trigonometric form is $6 (\cos 180^\circ + i \sin 180^\circ)$.

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 $r ( \cos \theta + i \sin \theta )$