Represent the Complex Number Graphically,and Find the Trigonometric Form of the Number

question 59

Multiple Choice

Represent the complex number graphically,and find the trigonometric form of the number. ​
5 - 5i
​

• A)​ \[5 \sqrt { 2 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right)\]
• B)​ \[5 \sqrt { 2 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right)\]
• C)​ \[\sqrt { 50 } \left( \cos \frac { \pi } { 4 } + \sin \frac { \pi } { 4 } \right)\]
• D)​ \[\sqrt { 50 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)\]
• E)​ \[\sqrt { 2 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)\]

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Definitions:

Reactive Person-Environment Transaction

This refers to how individuals actively shape their environments based on their personality, behaviors, and actions, which in turn influence their own experiences and reactions.

Introvert

A person predominantly concerned with their own thoughts and feelings rather than with external things.

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Feeling of great unhappiness or discomfort, often with a sense of hopelessness.

Developmental Personality Psychology

A field of psychology that studies how personality develops across the lifespan, influenced by genetics, environment, and experiences.