Find the Trigonometric Form Of $- 6 - 6 \sqrt { 3 } i$

question 100

Multiple Choice

Find the trigonometric form of $- 6 - 6 \sqrt { 3 } i$ .

• A) \(12 \left( \cos \frac { 4 \pi } { 3 } + i \sin \frac { 4 \pi } { 3 } \right)\)
• B) \(6 \left( \cos \frac { 4 \pi } { 3 } + i \sin \frac { 4 \pi } { 3 } \right)\)
• C) \(12 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)\)
• D) \(12 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)\)
• E) \(6 \sqrt { 2 } \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)\)

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Definitions:

Par Common Stock

The nominal or face value assigned to common stock shares, as stated in the corporate charter.

Total Impact

The overall effect or influence of something, often used to assess the comprehensive outcome of a decision, action, or event.

Cumulative Preferred

A type of preferred stock where dividends accumulate if not paid in a given period and must be paid out before any dividends can be distributed to common stockholders.

Dividends in Arrears

Dividends owed on cumulative preferred stock that require payment prior to distributing any dividends to holders of common stock.