Solve the Problem $\sin \frac { \theta } { 2 }$

question 344

Multiple Choice

Solve the problem.
-Find $\sin \frac { \theta } { 2 }$ , given that $\cos \theta = \frac { 1 } { 4 }$ and $\theta$ terminates in $0 < \theta < 90 ^ { \circ }$ .

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

---

Definitions:

Financial Ruin

A situation where an individual or entity cannot recover from a severe financial setback, leading to insolvency or bankruptcy.

Emergency Room Services

Medical services provided in the emergency department of a hospital intended to address acute and urgent conditions.

Anticybersquatting Consumer Protection Act (ACPA)

A United States federal law enacted in 1999 intended to give trademark owners legal remedies against defendants who register domain names "in bad faith" that are identical or misleadingly similar to a trademark or personal name.

Trademark Owner

The individual or entity that legally holds the rights to a trademark, responsible for its usage and protection against infringement.