Find the Exact Value of the Expression Using the Provided $\cos 165 ^ { \circ }$

question 88

Multiple Choice

Find the exact value of the expression using the provided information.
- $\cos 165 ^ { \circ }$

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

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Definitions:

Erythrocyte

A type of blood cell that is typically disc-shaped and responsible for transporting oxygen and carbon dioxide throughout the body; also known as a red blood cell.

Voice Box

The larynx, an organ in the top of the neck involved in breathing, producing sound, and protecting the trachea against food aspiration.

Larynx

The organ at the upper end of the trachea that contains the vocal cords.

Nasal Cavity

The large air filled space above and behind the nose in the middle of the face, an important part of the respiratory system.