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:

LAC Curve

Long-Run Average Cost curve, a graphical representation showing the minimum average cost of production at different levels of output when input prices and technology remain constant.

Constant-Cost Industry

A constant-cost industry is an industry where the costs of production, including inputs, do not change as the industry's output changes.

Demand Shift

Occurs when the entire demand curve moves due to changes in factors other than the price of the good, such as consumer preferences or income.

Supply Increase

A situation where the quantity of a good or service that is available to consumers rises.