Find the Standard Form of the Complex Number Shown Below $3 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)$

question 161

Multiple Choice

Find the standard form of the complex number shown below. $3 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right)$

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

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Definitions:

Prophetic Gifts

Spiritual endowments in some religious traditions that enable individuals to receive and communicate messages from the divine or supernatural realm.

Bodily Humors

An ancient and obsolete medical theory that believed human health and temperament were governed by four fluids in the body: blood, phlegm, black bile, and yellow bile.

Hippocrates

Often referred to as the "Father of Medicine," an ancient Greek physician who set standards for ethical medical practice.

Abnormality

A deviation from the norm which may affect functionality or lead to psychological difficulties or disadvantages.