Write the complex number in trigonometric form r(c $$r ( \cos \theta + i \sin \theta )$$ ), with $$\theta$$ in the interval [0 $$\left[ 0 ^ { \circ } , 360 ^ { \circ } \right)$$
-$- 2 \mathrm { i }$
A) $2 \left( \cos 180 ^ { \circ } + i \sin 180 ^ { \circ } \right)$
B) $2 \left( \cos 0 ^ { \circ } + i \sin 0 ^ { \circ } \right)$
C) $2 \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right)$
D) $2 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right)$

Question

Quizplus · Accepted Answer

The complex number $-2i$ corresponds to a point on the complex plane that is 2 units below the origin, which aligns with the direction of $270^\circ$ or $\frac{3\pi}{2}$ radians. Therefore, its trigonometric form is $2(\cos 270^\circ + i\sin 270^\circ)$.

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

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