Determine All Solutions of the Equation in Radians $\cos \frac { \theta } { 2 }$

question 43

Multiple Choice

Determine all solutions of the equation in radians.
-Find $\cos \frac { \theta } { 2 }$ , given that $\sin \theta = \frac { 1 } { 4 }$ and $\theta$ terminates in $0 < \theta < 90 ^ { \circ }$ .

• A) \(\frac { \sqrt { 6 } } { 4 }\)
• B) \(\frac { \sqrt { 8 + 2 \sqrt { 15 } } } { 4 }\)
• C) \(\frac { \sqrt { 10 } } { 4 }\)
• D) \(\frac { \sqrt { 8 - 2 \sqrt { 15 } } } { 4 }\)

---

Definitions:

Dissociative Disorders

Mental health conditions that involve disruptions or breakdowns of memory, consciousness, awareness, identity, and perception.

High Hypnotizability

A trait or condition in which an individual is exceptionally susceptible to hypnosis and can easily enter a hypnotic state.

Dissociative Identity Disorder

A complex psychological condition characterized by the presence of two or more distinct personality states or identities in a single individual.

Integrating Personalities

The process of merging different aspects or elements of one's character into a coherent and stable identity.