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

question 102

Multiple Choice

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

• A) \(\frac { 5 \sqrt { 2 } } { 2 }\)
• B) \(\frac { 2 \sqrt { 5 } } { 5 }\)
• C) \(2 \sqrt { 5 }\)
• D) \(5 \sqrt { 2 }\)

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Definitions:

Test-Retest Reliability

The degree to which a test yields the same results when it is given more than once to the same person. Test-retest reliability can be evaluated by correlating a person’s score on a given test with the same person’s score on the same test taken at a later time. The higher the correlation between the two scores (as expressed in terms of a correlation coefficient) the more reliable it is.

Psychological Test

A standardized instrument or systematic procedure designed to evaluate a specific aspect of an individual's mental health, intelligence, or aptitude.

Personality Type

A classification of individuals based on their characteristic patterns of thoughts, feelings, and behaviors.