Find the Standard Form of the Complex Number Shown Below $$5 \left( \cos \frac { 11 \pi } { 6 } + i \sin \frac { 11 \pi } { 6 } \right)$$

question 39

Multiple Choice

Find the standard form of the complex number shown below. $$5 \left( \cos \frac { 11 \pi } { 6 } + i \sin \frac { 11 \pi } { 6 } \right)$$

• A) \(- \frac { 5 \sqrt { 3 } } { 2 } - \frac { 5 } { 2 }\)
• B) \(\frac { 5 \sqrt { 3 } } { 4 } - \frac { 5 } { 4 }\)
• C) \(\frac { 2 } { 5 } - \frac { 2 \sqrt { 3 } } { 5 }\)
• D) \(\frac { 5 \sqrt { 3 } } { 2 } - \frac { 5 } { 2 }\)
• E) \(\frac { 5 \sqrt { 3 } } { 4 } + \frac { 5 } { 4 }\)

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Definitions:

Repolarization

The process of restoring the resting negative charge inside a cell membrane after depolarization, crucial for the function of nerve and muscle cells.

Nervous System

The complex network of nerve cells and fibers that transmits nerve impulses between parts of the body, comprising the central and peripheral nervous systems.

Endocrine System

A network of glands and organs that produce, store, and secrete hormones into the bloodstream to regulate the body’s growth, metabolism, and function.

Neuromodulators

Chemicals released by nerve cells to signal, modify, and regulate the activity of other neurons.