Use the Half-Angle Formulas to Determine the Exact Value of the Following

question 32

Multiple Choice

Use the half-angle formulas to determine the exact value of the following.
$$\cos \left( 22.5 ^ { \circ } \right)$$

• A) \(- \frac { \sqrt { 2 + \sqrt { 3 } } } { 2 }\)
• B) \(\frac { \sqrt { 2 - \sqrt { 2 } } } { 2 }\)
• C) \(- \frac { \sqrt { 2 - \sqrt { 2 } } } { 2 }\)
• D) \(\frac { \sqrt { 3 - \sqrt { 3 } } } { 2 }\)
• E) \(\frac { \sqrt { 2 + \sqrt { 2 } } } { 2 }\)

Understand the legal implications of cartels and the mechanisms through which firms attempt to maintain collusion.

Understand key events and movements in early 20th-century American history, including World War I and its aftermath.

Analyze the impact of race, ethnicity, and gender on American society and politics during this period.

Describe the roles and experiences of African Americans and other minority groups in early 20th-century America.

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Definitions:

Reality

The state of things as they actually exist, as opposed to an idealistic or notional idea of them.

Defense Mechanism

Psychological strategies used unconsciously to protect oneself from anxiety or stress by denying or distorting reality.

Projection

A defense mechanism where an individual attributes their own unacceptable thoughts, feelings, or motives to another person.

Divorced

The state of being legally dissolved from a marriage.