Write the Complex Number in Trigonometric Form $$r ( \cos \theta + i \sin \theta )$$

question 407

Multiple Choice

Write the complex number in trigonometric form $$r ( \cos \theta + i \sin \theta )$$ with θ in the interval [0°, 360°) .
- $4 \sqrt { 3 } + 4 i$

• A) \(8 \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right)\)
• B) \(8 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right)\)
• C) \(8 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right)\)
• D) \(8 \left( \cos 150 ^ { \circ } + \mathrm { i } \sin 150 ^ { \circ } \right)\)

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Definitions:

Escalation Of Commitment

Refers to the phenomenon where individuals or organizations continue to invest time, money, or resources into a failing decision or project, due to the substantial investments already made, rather than abandon it.

Psychological Determinants

Factors of psychological origin that influence an individual's behaviors, attitudes, and perceptions.

Group Polarization

describes the phenomenon where discussions within a group lead to an amplification of the group’s initial attitude, making their final stance more extreme.

Overconfidence Bias

A cognitive bias where an individual's subjective confidence in their judgments is greater than their objective accuracy, leading to overly optimistic assessments and decision-making errors.