Write the Complex Number Shown Below in Trigonometric Form $$6 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)$$

question 19

Multiple Choice

Write the complex number shown below in trigonometric form.

• A) \[6 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)\]
• B) \[6 \left( \cos \frac { 4 \pi } { 3 } + i \sin \frac { 4 \pi } { 3 } \right)\]
• C) \[6 \left( \cos \frac { 5 \pi } { 3 } + i \sin \frac { 5 \pi } { 3 } \right)\]
• D) \[6 \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)\]
• E) \[6 \left( \cos \frac { 11 \pi } { 6 } + i \sin \frac { 11 \pi } { 6 } \right)\]

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Definitions:

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Assets that are expected to be converted into cash, sold or consumed within a year or within the operating cycle of a business, such as cash, marketable securities, inventory, and accounts receivable.

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The total profit of a company after all expenses, including taxes and operational expenses, have been subtracted from total revenue.

Sales

The total revenue a company generates from selling goods or services.

Solvency

The ability of a firm to pay its debts as they come due.