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

question 159

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) \(16 \left( \cos 135 ^ { \circ } + \mathrm { i } \sin 135 ^ { \circ } \right)\)
• D) \(16 \left( \cos 120 ^ { \circ } + \mathrm { i } \sin 120 ^ { \circ } \right)\)

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Definitions:

Structural Formula

A graphical representation of a molecular structure, showing how atoms are arranged and bonded together within a molecule.

Acetone

A volatile, colorless solvent known for its ability to dissolve many plastics and synthetic fibers, characterized by its simplest ketone structure.

Lewis Structure

A graphical representation of the valence electrons of atoms in a molecule, showing how the electrons are arranged around atoms.

Acetic Acid

An organic compound with the formula CH3COOH, known as the main component of vinegar besides water.