Multiply the Complex Numbers Below and Leave the Result in Trigonometric

question 1

Multiple Choice

Multiply the complex numbers below and leave the result in trigonometric form. $$\left[ 7 \left( \cos \frac { 6 \pi } { 7 } + i \sin \frac { 6 \pi } { 7 } \right) \right] \left[ 2 \left( \cos \frac { 4 \pi } { 9 } + i \sin \frac { 4 \pi } { 9 } \right) \right]$$

• A) \[9 \left( \cos \frac { 82 \pi } { 63 } + i \sin \frac { 82 \pi } { 63 } \right)\]
• B) \[9 \left( \cos \frac { 10 \pi } { 63 } + i \sin \frac { 10 \pi } { 63 } \right)\]
• C) \(14 \left( \cos \frac { 10 \pi } { 63 } + i \sin \frac { 10 \pi } { 63 } \right)\)
• D) \(14 \left( \cos \frac { 82 \pi } { 63 } + i \sin \frac { 82 \pi } { 63 } \right)\)
• E) \(14 \left( \cos \frac { 58 \pi } { 63 } + i \sin \frac { 58 \pi } { 63 } \right)\)

Comprehend how inefficiencies within an economy are represented on the production possibilities curve.

Distinguish between the concepts of invention and innovation and their roles in economic advancement.

Identify the outcomes of policies and conditions that shift the economy's production possibilities curve outward or inward.

Recognize the importance of private ownership for economic decision-making and resource management.

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Definitions:

Capital Lease

A lease agreement that transfers substantially all the risks and rewards of ownership of the asset to the lessee, effectively treated as a purchase of the asset.

Periodic Cash Payments

Payments made regularly over a period of time, such as dividends or loan repayments.

Lease Rental Expense

An expense incurred from leasing an asset, which is typically recorded on a lessee's income statement.

Lease Liability

An obligation representing the present value of leasing payments due under a lease agreement.