Find the Quotient and Write in Rectangular Form $$\frac { 2 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) } { 4 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right) }$$

question 300

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $$\frac { 2 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) } { 4 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right) }$$

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

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Definitions:

Psychophysics

A branch of psychology that deals with the relationships between physical stimuli and the sensory perceptions and mental responses they evoke.

Differential Theory

suggests individual differences in behavior, traits, and intelligence result from genetic variation or environmental factors.

Psychotherapeutics

The treatment of mental or emotional disorders through psychological methods rather than medical interventions.

Perception

The process by which individuals select, organize, and interpret sensory input to form a meaningful picture of the world.