Perform the Operation Shown Below and Leave the Result in Trigonometric

question 13

Multiple Choice

Perform the operation shown below and leave the result in trigonometric form. $$\left[ 4 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right) \right] \left[ 3 \left( \cos \frac { 3 \pi } { 7 } + i \sin \frac { 3 \pi } { 7 } \right) \right]$$

• A) \(7 \left( \cos \frac { 23 \pi } { 21 } + i \sin \frac { 23 \pi } { 21 } \right)\)
• B)​ \(12 \left( \cos \frac { 23 \pi } { 21 } + i \sin \frac { 23 \pi } { 21 } \right)\)
• C)​ \(12 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)\)
• D)​ \(12 \left( \cos \frac { 2 \pi } { 7 } + i \sin \frac { 2 \pi } { 7 } \right)\)
• E)​ \(7 \left( \cos \frac { 2 \pi } { 7 } + i \sin \frac { 2 \pi } { 7 } \right)\)

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Definitions:

Oedipus Complex

A psychoanalytic theory by Freud suggesting a child's unconscious desire for the opposite-sex parent and jealousy towards the same-sex parent.

Childhood

The period of life from birth to adolescence, characterized by growth, development, and learning.

Repression

A psychological defense mechanism where distressing thoughts and memories are unconsciously blocked from conscious awareness.

Psychoanalytic Perspective

A framework in psychology which posits that human behavior is influenced by unconscious motives and conflicts.