Express the complex number in polar form.
-$6 \mathrm { i }$
A) $6 \left( \cos 180 ^ { \circ } + i \sin 180 ^ { \circ } \right)$
B) $6 \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right)$
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 $6i$ is located on the imaginary axis at a distance of 6 units above the origin, which corresponds to an angle of $90^\circ$ from the positive real axis. Therefore, its polar form is $6(\cos 90^\circ + i\sin 90^\circ)$.

Express the Complex Number in Polar Form 6i6 \mathrm { i }6i

Express the Complex Number in Polar Form $6 \mathrm { i }$