Perform the Operation Shown Below and Leave the Result in Trigonometric

question 11

Multiple Choice

Perform the operation shown below and leave the result in trigonometric form. $$\left[ 4 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right) \right] \left[ 3 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right) \right]$$

• A) \(12 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right)\)
• B) \(4 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)\)
• C) \(12 \left( \cos \frac { 49 \pi } { 30 } + i \sin \frac { 49 \pi } { 30 } \right)\)
• D) \(2 \left( \cos \frac { 49 \pi } { 30 } + i \sin \frac { 49 \pi } { 30 } \right)\)
• E) \(12 \left( \cos \frac { 49 \pi } { 30 } - i \sin \frac { 49 \pi } { 30 } \right)\)

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Definitions:

Equity

Fairness or justice in the way people are treated or the distribution of resources, often distinguished from equality by focusing on needs and outcomes.

Efficiency

The optimal use of resources to achieve the best possible outcome or output without wasting resources.

Market Economy

An economic system in which supply and demand determine the production of goods and services.

Efficiency

The optimal allocation and use of resources to achieve the best possible output or outcome with the least waste of time and effort.