Find the Exact Value by Using a Half-Angle Identity $\sin 22.5 ^ { \circ }$

question 136

Multiple Choice

Find the exact value by using a half-angle identity.
- $\sin 22.5 ^ { \circ }$

• A) \(\frac { 1 } { 2 } \sqrt { 2 - \sqrt { 2 } }\)
• B) \(- \frac { 1 } { 2 } \sqrt { 2 - \sqrt { 2 } }\)
• C) \(- \frac { 1 } { 2 } \sqrt { 2 + \sqrt { 2 } }\)
• D) \(\frac { 1 } { 2 } \sqrt { 2 + \sqrt { 2 } }\)

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Definitions:

Responses to the Environment

The various ways organisms adapt, react, or change due to stimuli or changes in their external surroundings.

Temperament

Innate characteristics of an individual's personality, including tendencies towards emotional reactivity, intensity, and behavioral patterns.

Temperamental Qualities

Innate traits that determine an individual's predisposition to behave and react in certain ways.

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The degree of physical movement or energy expenditure an individual displays, which can vary widely among different people.