Use the Half-Angle Formula to Simplify the Given Expression $$\sqrt { \frac { 1 + \cos 8 x } { 2 } }$$

question 9

Multiple Choice

Use the half-angle formula to simplify the given expression. ​​ $$\sqrt { \frac { 1 + \cos 8 x } { 2 } }$$ ​

• A)​​cos |2x|
• B)​​cos |8x|
• C)​​cos |16x|
• D)​​cos |32x|
• E)​cos |4x|

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Definitions:

Positively Sloped

A line or curve on a graph that increases in value as it moves from left to right, indicating a direct relationship between two variables.

Negatively Sloped

A descriptor for a line on a graph that moves downwards from left to right, indicating an inverse relationship between the variables plotted.

Total Surplus

The total net gain to society from creating and consuming goods and services, encapsulated by the combination of consumer and producer surplus.

Total Surplus

The sum of producer and consumer surplus, representing the total net benefit to society from the production and consumption of goods and services.