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

question 160

Multiple Choice

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

• 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:

Equilibrium Price

The selling price where the amount of products offered is equal to the amount of products consumers want to buy.

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a particular price over a specified period.

Quantity Demanded

Denotes the overall quantity of a product or service that buyers are ready and capable of buying at a certain price point during a specified timeframe.

Shortage

A situation where the demand for a product exceeds the supply available at a specific price.