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

question 393

Multiple Choice

Write the complex number in trigonometric form $$r ( \cos \theta + i \sin \theta )$$ with θ in the interval [0°, 360°) .
- $5 + 5 \mathrm { i }$

• A) \(5 \sqrt { 2 } \left( \cos 315 ^ { \circ } + i \sin 315 ^ { \circ } \right)\)
• B) \(5 \sqrt { 2 } \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right)\)
• C) \(5 \sqrt { 2 } \left( \cos 225 ^ { \circ } + i \sin 225 ^ { \circ } \right)\)
• D) \(5 \sqrt { 2 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right)\)

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Definitions:

Incidence

The rate at which new cases of a disease or condition occur in a specific population over a certain period of time.

Risk Factors

Conditions or variables associated with a higher risk of having a disorder.

Strong Positive Correlation

A relationship between two variables in which both variables move in the same direction with a high degree of association.

Correlation (r)

A statistical measure that indicates the extent to which two or more variables fluctuate together.