Solve the Problem Find $\frac { z } { w }$

question 89

Multiple Choice

Solve the problem. Leave your answer in polar form.
- $$\begin{array} { l } z = 10 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) \\w = 5 \left( \cos 15 ^ { \circ } + i \sin 15 ^ { \circ } \right) \end{array}$$
Find $\frac { z } { w }$ .

• A) \(2 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right)\)
• B) \(\frac { 1 } { 2 } \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right)\)
• C) \(\frac { 1 } { 2 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right)\)
• D) \(2 \left( \cos 45 ^ { \circ } + \mathrm { i } \sin 45 ^ { \circ } \right)\)

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Definitions:

Responsiveness

The ability of a system or organization to react quickly and positively to changes or requests.

Quantity

The amount or number of a material or immaterial good that is considered disposable or usable.

Income Elasticity of Demand

Income elasticity of demand measures how the quantity demanded of a good or service changes in response to a change in consumers' income.

Quantity Demanded

In economics, the total amount of a good or service that consumers are willing and able to purchase at a given price.