Use the Information Given About the Angle θ, 0 ≤θ $\sec \theta = 4 , \quad 0 < \theta < \frac { \pi } { 2 }$

question 114

Multiple Choice

Use the information given about the angle θ, 0 ≤θ ≤ 2π, to find the exact value of the indicated trigonometric function.
- $\sec \theta = 4 , \quad 0 < \theta < \frac { \pi } { 2 }$
Find $\cos \frac { \theta } { 2 }$ .

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

---

Definitions:

Maximax Criterion

A decision-making rule used in scenarios of uncertainty, selecting the option with the maximum possible payoff regardless of the risks involved.

Uncertainty

A situation where the outcomes or conditions of an event, effect, or decision are not known or predictable.

Conditional Probability

This is the probability of an event occurring given that another event has already occurred.

Expected Value

A statistical concept that calculates the average outcome when the future includes scenarios that may or may not happen, often used in decision-making and risk assessment.