Write the Complex Number in Polar Form $- 4 + 4 \mathrm { i }$

question 224

Multiple Choice

Write the complex number in polar form. Express the argument in degrees, rounded to the nearest tenth, if necessary.
- $- 4 + 4 \mathrm { i }$

• A) \(4 \sqrt { 2 } \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right)\)
• B) \(4 \sqrt { 2 } \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right)\)
• C) \(16 \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right)\)
• D) \(16 \left( \cos 120 ^ { \circ } + \mathrm { i } \sin 120 ^ { \circ } \right)\)

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Definitions:

Identity Development

The process by which a person develops a distinct sense of self throughout their life, often influenced by various social, cultural, and personal factors.

Conflict With Peers

Situations where disagreements or disputes arise between individuals of similar age groups, often leading to social stress or development of conflict resolution skills.

Maladjustment

Failure to adjust appropriately to environmental circumstances or to the demands of society or personal expectations.

Identity Status

The stage of development, conceptualized by James Marcia, that involves exploring and making decisions about one's role in society and personal beliefs and values.