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

question 132

Multiple Choice

Write the trigonometric expression as an algebraic expression containing u and v.
- $\sin \left( \tan ^ { - 1 } u + \tan ^ { - 1 } v \right)$

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

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Definitions:

Positive Reinforcement

The process of increasing the likelihood of a behavior by following it with the addition of a pleasurable stimulus or reward.

Negative Punishment

A behavior modification technique involving the removal of a desirable stimulus after a particular behavior is exhibited, with the intention of decreasing that behavior.

Positive Punishment

An operant conditioning principle where the introduction of an unfavorable outcome or stimulus following a behavior decreases the likelihood of the behavior occurring again.

Behaviors

Actions or reactions of an individual in relation to the environment or situations.