Find the trigonometric form of the complex number shown below. 10i
A) $10 ( \cos \pi + i \sin \pi )$
B) $10 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)$
C) $10 ( \cos 0 + i \sin 0 )$
D) $10 \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)$
E) $10 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)$

Question

Find the trigonometric form of the complex number shown below. 10i
A)  $10 ( \cos \pi + i \sin \pi )$
B)  $10 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)$
C)  $10 ( \cos 0 + i \sin 0 )$
D)  $10 \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)$
E) $10 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)$

Quizplus · Accepted Answer

The complex number 10i is purely imaginary and lies on the positive imaginary axis. Its magnitude is 10, and the angle with the positive real axis is $\frac{\pi}{2}$.

Find the Trigonometric Form of the Complex Number Shown Below 10(cos⁡π+isin⁡π)10 ( \cos \pi + i \sin \pi )10(cosπ+isinπ)

Find the Trigonometric Form of the Complex Number Shown Below $10 ( \cos \pi + i \sin \pi )$