Find the Trigonometric Form of the Complex Number Shown Below $- 3 i$

question 54

Multiple Choice

Find the trigonometric form of the complex number shown below. $- 3 i$

• A) \(3 ( \cos 0 + i \sin 0 )\)
• B) \(3 ( \cos \pi + i \sin \pi )\)
• C) \(3 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)\)
• D) \(3 \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)\)
• E) \(3 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)\)

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Definitions:

Neuron

A nerve cell that is the basic building block of the nervous system, responsible for transmitting information throughout the body.

Neurons

Cells specialized in sending nerve messages, forming the core structure of the nervous system.

Synapse

The junction between two neurons or between a neuron and a muscle where electrical or chemical signals are transmitted from one cell to another.

Ganglia

Structures containing a number of nerve cell bodies, typically linked by synapses, and often forming a swelling on a nerve path.