Find the Quotient and Write in Rectangular Form $\frac { 25 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) } { 5 \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right) }$

question 22

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $\frac { 25 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) } { 5 \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right) }$

• A) \(- 5 i\)
• B) \(- 5 i \sqrt { 2 }\)
• C) \(5 \sqrt { 2 } - 5 i \sqrt { 2 }\)
• D) \(5 \mathrm { i }\)

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Definitions:

Budget Constraint

The financial limit on the consumption choices of an individual or household based on income and the prices of goods and services.

Income Change

A variation in the amount of earnings received by a person, household, or economic entity over a period.

Inferior Good

A good for which an increase in income reduces the quantity demanded

Good A

A placeholder term typically used in economic models to represent a generic item or service in the market.