Find the trigonometric form of the complex number shown below.
-8
A) $$8 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)$$
B) $8 \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)$
C) $8 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)$
D) $8 ( \cos 0 + i \sin 0 )$
E) $8 ( \cos \pi + i \sin \pi )$

Question

Find the trigonometric form of the complex number shown below. ​
​-8
A)​ $$8 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)$$
B)​ $8 \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)$
C)​ $8 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)$
D)​ $8 ( \cos 0 + i \sin 0 )$
E) $8 ( \cos \pi + i \sin \pi )$

Quizplus · Accepted Answer

The complex number -8 can be represented in trigonometric form as $8(\cos \pi + i\sin \pi)$, where the magnitude is 8 and the angle $\theta$ is $\pi$ radians, indicating a point on the negative real axis.

Find the Trigonometric Form of the Complex Number Shown Below 8(cos⁡3π2+isin⁡3π2)8 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)8(cos23π​+isin23π​)

Find the Trigonometric Form of the Complex Number Shown Below $8 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)$