Find the Exact Value of the Expression $\cos \left( 2 \sin ^ { - 1 } \frac { 1 } { 4 } \right)$

question 364

Multiple Choice

Find the exact value of the expression.
- $\cos \left( 2 \sin ^ { - 1 } \frac { 1 } { 4 } \right)$

• A) \(\frac { 3 } { 8 }\)
• B) \(\frac { 5 } { 8 }\)
• C) \(\frac { 1 } { 8 }\)
• D) \(\frac { 7 } { 8 }\)

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Definitions:

Systematic Desensitization

A therapeutic technique used to help individuals overcome phobias and anxiety disorders by gradually exposing them to the feared object or situation in a controlled manner.

Classical Conditioning

A learning process that pairs a neutral stimulus with a stimulus that naturally produces a response until the neutral stimulus alone produces the same response.

Phobias

Intense, irrational fears of specific objects or situations that significantly interfere with an individual's daily life.

Obsessive-Compulsive Disorder

A mental health disorder characterized by recurring, unwanted thoughts (obsessions) and repetitive behaviors (compulsions) as a way to cope with anxiety.