Find the Exact Value by Using a Half-Angle Identity $\cos \frac { x } { 2 }$

question 241

Multiple Choice

Find the exact value by using a half-angle identity.
-Find $\cos \frac { x } { 2 }$ , given that $\sec x = 4$ and $x$ terminates in $0 < x < \frac { \pi } { 2 }$ .

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

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Definitions:

Racial Groups

Categories of people identified by shared physical or social qualities into groups considered by society to be distinct.

Intergroup Conflict

Disputes or hostilities between different groups, often arising from competition for resources, differences in values, or social status.

Outgroup

A social group to which an individual does not identify or belong, often viewed with prejudice or hostility.

Discontinuity Effect

The phenomenon where groups exhibit more competitiveness and less cooperation than individuals when negotiating.