Write Complex Numbers in Polar Form
-$- 3$
A) $3 \left( \cos 180 ^ { \circ } + i \sin 180 ^ { \circ } \right)$
B) $3 \left( \cos 0 ^ { \circ } + i \sin 0 ^ { \circ } \right)$
C) $3 \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right)$
D) $3 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right)$

Question

Quizplus · Accepted Answer

The complex number $-3$ lies on the negative x-axis, which corresponds to an angle of $180^\circ$ in polar coordinates. Therefore, its polar form is $3(\cos 180^\circ + i\sin 180^\circ)$, reflecting its magnitude (3) and direction ($180^\circ$).

Write Complex Numbers in Polar Form - −3- 3−3 A) 3(cos⁡180∘+isin⁡180∘)3 \left( \cos 180 ^ { \circ } + i \sin 180 ^ { \circ } \right)3(cos180∘+isin180∘)

Write Complex Numbers in Polar Form
- $- 3$ A) $3 \left( \cos 180 ^ { \circ } + i \sin 180 ^ { \circ } \right)$