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

question 376

Multiple Choice

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

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

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Definitions:

Reliance Interest

Refers to the compensation aimed at putting a party in the position they would have been in had a contractual promise not been made.

Concurrent Condition

A situation in contract law where the obligations of parties are to be performed at the same time; the performance of one party is conditioned upon the performance by the other.

Constructive Condition

A condition inferred by law from the conduct of parties or the circumstances, rather than explicitly stated in a contract.

Materiality

A principle in accounting and law that concerns the significance of an event, fact, or item in the context of decision-making or reporting.