Write the Complex Number in Trigonometric Form R(c $$r ( \cos \theta + i \sin \theta )$$

question 78

Multiple Choice

Write the complex number in trigonometric form r(c $$r ( \cos \theta + i \sin \theta )$$ ) , with $$\theta$$ in the interval [0 $$\left[ 0 ^ { \circ } , 360 ^ { \circ } \right)$$
- $9 + 9 i$

• A) \(9 \sqrt { 2 } \left( \cos 315 ^ { \circ } + i \sin 315 ^ { \circ } \right)\)
• B) \(9 \sqrt { 2 } \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right)\)
• C) \(9 \sqrt { 2 } \left( \cos 225 ^ { \circ } + i \sin 225 ^ { \circ } \right)\)
• D) \(9 \sqrt { 2 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right)\)

---

Definitions:

Extra Output

The additional production that is generated as a result of adding more of a variable input, such as labor or capital.

Diminishing Returns

A principle stating that as additional amounts of a variable input are added to a fixed input, beyond some point the marginal product of the variable input begins to decrease.

Unit of Labor

A measure of labor input, often represented by one worker or one hour of work, used to calculate productivity or costs.

Marginal Cost

The price of fabricating another unit of a good or service.