Perform the Operation Shown Below and Leave the Result in Trigonometric

question 70

Multiple Choice

Perform the operation shown below and leave the result in trigonometric form.
$$\left[ 6 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right) \right] \left[ 2 \left( \cos 280 ^ { \circ } + i \sin 280 ^ { \circ } \right) \right]$$

• A) \(8 \left( \cos 370 ^ { \circ } + i \sin 370 ^ { \circ } \right)\)
• B) \(12 \left( \cos 252 ^ { \circ } + i \sin 252 ^ { \circ } \right)\)
• C) \(12 \left( \cos 190 ^ { \circ } + i \sin 190 ^ { \circ } \right)\)
• D) \(8 \left( \cos 190 ^ { \circ } + i \sin 190 ^ { \circ } \right)\)
• E) \(12 \left( \cos 370 ^ { \circ } + i \sin 370 ^ { \circ } \right)\)

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Definitions:

Average Fitness Payoff

A concept in evolutionary biology referring to the expected reproductive success of an organism from following a certain strategy or behavior.

Thief Phenotype

The thief phenotype describes individuals or organisms that steal resources or mates from others as an alternative reproductive strategy.

Population

A group of individuals of the same species living in the same geographic area, capable of interbreeding and creating offspring.

Solitary Phenotype

An organism or individual that prefers to live or operates alone, avoiding social groups or pairings.