Find the Exact Value by Using a Half-Angle Identity $\sin 165 ^ { \circ }$

question 168

Multiple Choice

Find the exact value by using a half-angle identity.
- $\sin 165 ^ { \circ }$

• 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) \(- \frac { 1 } { 2 } \sqrt { 2 - \sqrt { 3 } }\)

---

Definitions:

Anorexia Nervosa

An eating disorder characterized by an intense fear of gaining weight and a distorted body image leading to excessive weight loss.

Frontal Lobe

The area of the brain located at the front of each cerebral hemisphere, responsible for voluntary movement, expressive language, and managing higher level executive functions.

Antisocial Personality Disorder

A mental disorder where a person consistently shows no regard for right and wrong and ignores the rights and feelings of others.

Pineal Gland

A small endocrine gland in the brain, involved in the production of melatonin, which regulates sleep-wake cycles.