Find the Quotient and Write in Rectangular Form $$\frac { 8 ( \cos 90 + i \sin 90 ) } { 3 ( \cos 30 + i \sin 30 ) }$$

question 57

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $$\frac { 8 ( \cos 90 + i \sin 90 ) } { 3 ( \cos 30 + i \sin 30 ) }$$

• A) \(\frac { 5 } { 2 } + \frac { 5 \sqrt { 3 } } { 2 } \mathrm { i }\)
• B) \(\frac { 4 } { 3 } + \frac { 4 \sqrt { 3 } } { 3 } \mathrm { i }\)
• C) \(1 + \sqrt { 3 } \mathrm { i }\)
• D) \(8 + 8 \sqrt { 3 } \mathrm { i }\)

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Definitions:

Genotype

The complete set of an organism’s genes.

Direct Expression

A mode of communication where thoughts and feelings are conveyed openly and without subtext.

Environmental

pertains to factors and conditions that surround an organism or system, influencing its development and behavior.

Genetic

Related to genes or heredity, the study of how traits are transmitted from parents to offspring.