Find the Quotient and Write in Rectangular Form $$\frac { 5 \left( \cos 200 ^ { \circ } + i \sin 200 ^ { \circ } \right) } { 4 \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right) }$$

question 248

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $$\frac { 5 \left( \cos 200 ^ { \circ } + i \sin 200 ^ { \circ } \right) } { 4 \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right) }$$

• A) \(- 10 + 10 \sqrt { 3 } i\)
• B) \(- \frac { 5 \sqrt { 3 } } { 8 } + \frac { 5 } { 8 } i\)
• C) \(- 2 + 2 \sqrt { 3 } i\)
• D) \(- \frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i }\)

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Definitions:

Production Possibility Frontiers

A curve depicting all maximum output possibilities for two goods, given a set of inputs resources, and technology, illustrating the trade-offs in production choices.

Opportunity Cost

Forgoing possible benefits from other options by selecting a particular one.

Straight Lines

Lines in a geometric space that have the same direction throughout and no curvature.

Foreign Trade

The exchange of goods and services between countries.