Find the Product $( 6 + 6 i ) ( 2 - 2 i )$

question 110

Multiple Choice

Find the product $( 6 + 6 i ) ( 2 - 2 i )$ using trigonometric forms.Leave the result in trigonometric form.

• A) \(12 \left( \cos \left( 45 ^ { \circ } \right) + i \sin \left( 45 ^ { \circ } \right) \right)\)
• B) \(12 \left( \cos \left( 0 ^ { \circ } \right) + i \sin \left( 0 ^ { \circ } \right) \right)\)
• C) \(24 \left( \cos \left( - 45 ^ { \circ } \right) + i \sin \left( - 45 ^ { \circ } \right) \right)\)
• D) \(24 \left( \cos \left( 45 ^ { \circ } \right) + i \sin \left( 45 ^ { \circ } \right) \right)\)
• E) \(24 \left( \cos \left( 0 ^ { \circ } \right) + i \sin \left( 0 ^ { \circ } \right) \right)\)

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Definitions:

Comparative Period

A reference period against which financial or operational performance is compared, typically the previous year or quarter.

Declaration

An official announcement or formal statement, often used in the context of declaring dividends to be paid to shareholders.

Cash Dividend

A Cash Dividend is a payment made by a company out of its earnings to investors in the form of cash.

Net Income

The total profit of a company after all expenses and taxes have been subtracted from revenues.