Find the Product A) $- 10 \sqrt { 3 } + 10 \mathrm { i }$

question 162

Multiple Choice

Find the product. Write the product in rectangular form, using exact values.
-[4 $\left. \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right) \right] \left[ 5 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) \right]$

• A) \(- 10 \sqrt { 3 } + 10 \mathrm { i }\)
• B) \(- 10 - 10 \sqrt { 3 } \mathrm { i }\)
• C) \(10 \sqrt { 3 } - 10 \mathrm { i }\)
• D) \(10 + 10 \sqrt { 3 } i\)

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Definitions:

Behaviourally Inhibited

A temperament characterized by a tendency to react with fear or withdrawal in new situations or when encountering unfamiliar people or environments.

Anxious Temperament

A predisposition to respond to situations with fear or anxiety, often resulting from genetic or environmental factors.

Anxiety Disorders

A group of mental health disorders characterized by significant feelings of anxiety and fear, impacting daily living.

Behaviourally Inhibited

Describes individuals who demonstrate a consistent pattern of shyness, fearfulness, and withdrawal from unfamiliar people, situations, or environments.