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:

Type of Organization

Classifications of organizations based on structure, purpose, and objectives, such as nonprofit, for-profit, governmental, and nongovernmental.

Multiunit Organizations

Entities that operate across multiple physical locations or units, often to help achieve broader objectives than those possible through a single-unit operation.

Virtual Organizations

Enterprises that operate primarily online without a traditional physical presence, relying on electronic means for collaboration and operation.

Transformational Model

A theory or approach that focuses on leading change by inspiring and motivating others to achieve a shared vision.