Write the Trigonometric Expression as an Algebraic Expression in U $\tan \left( \sin ^ { - 1 } \mathrm { u } \right)$

question 157

Multiple Choice

Write the trigonometric expression as an algebraic expression in u.
- $\tan \left( \sin ^ { - 1 } \mathrm { u } \right)$

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

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Definitions:

Conditioned Response

A conditioned response is an automatic reaction established by learning to an initially neutral stimulus after being repeatedly paired with an unconditioned stimulus that triggers an automatic response.

Unconditioned Stimulus

A stimulus that naturally and automatically triggers a response without prior learning or conditioning.

Drug Tolerance

The reduced effectiveness of a drug as a result of the repeated use of the drug.

Supporting Evidence

Information, data, or facts that underpin and reinforce a theory, hypothesis, or belief.