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) \(3 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)\)

---

Definitions:

Total Personality

The complete range of characteristics, traits, and behaviors that make up an individual's distinctive personality.

Conscious

The state of being aware of and able to think about one's own thoughts, memories, feelings, and sensations.

Subconscious

A part of the mind that lies just below the level of conscious awareness, influencing thoughts and actions without overt acknowledgment.

Inner Growth

The personal development or maturation of an individual, often involving increased self-awareness and understanding of one's motivations and emotions.