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

question 353

Multiple Choice

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

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

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Definitions:

Break-even

The point at which cost or expenses and revenue are equal, resulting in neither profit nor loss.

Long-run Equilibrium

A state in which all factors of production and costs are variable, and firms are making neither excess profits nor losses.

Short-run Equilibrium

Short-run Equilibrium occurs in a market when the quantity supplied equals the quantity demanded at a specific price level, without considering changes in the long run.

Market Participants

Individuals or entities engaging in the buying, selling, or exchange of goods and services in a market.