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

question 42

Multiple Choice

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

• A) \(3 \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)\)
• B) \(\sqrt { 3 } \left( \cos \frac { 11 \pi } { 6 } + i \sin \frac { 11 \pi } { 6 } \right)\)
• C) \(9 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)\)
• D) \(3 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)\)
• E) \(\sqrt { 2 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)\)

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Definitions:

Gestalt Principles

A set of theories that describe how humans tend to organize visual elements into groups or unified wholes when certain principles are applied.

Perception

The process of recognizing and interpreting sensory stimuli through the five senses.

Proximity

The physical or psychological closeness between people or objects, often influencing the strength of relationships and the formation of social bonds.

Loosely Translated

Loosely translated refers to the act of interpreting or rendering text from one language to another without strict adherence to the original wording.