Write the Complex Number in Rectangular Form $$8 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$$

question 95

Multiple Choice

Write the complex number in rectangular form.
- $$8 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$$

• A) \(4 + 4 \sqrt { 3 } i\)
• B) \(\frac { 1 } { 4 } + \frac { \sqrt { 3 } } { 4 } \mathrm { i }\)
• C) \(4 \sqrt { 3 } + 4 i\)
• D) \(\frac { \sqrt { 3 } } { 4 } + \frac { 1 } { 4 } \mathrm { i }\)

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Definitions:

Monopoly Power

The ability of a single seller in a market to control the prices of goods or services, usually due to lack of competition.

Local Water Company

A utility firm responsible for the supply and management of water within a specific local area.

Natural Monopoly

A market structure where a single firm can provide a product or service at a lower cost than any potential competitor, often due to economies of scale.

Average Total Cost

The total cost of production divided by the total output, or the cost per unit of output on average.