Find the Exact Value of the Expression $$\tan \left( \tan ^ { - 1 } \frac { 3 } { 4 } + \sin ^ { - 1 } \frac { 1 } { 2 } \right)$$

question 209

Multiple Choice

Find the exact value of the expression.
- $$\tan \left( \tan ^ { - 1 } \frac { 3 } { 4 } + \sin ^ { - 1 } \frac { 1 } { 2 } \right)$$

• A) \(\frac { 2 \sqrt { 3 } + 2 \sqrt { 10 } } { 9 }\)
• B) \(\frac { 2 \sqrt { 3 } } { 5 }\)
• C) \(\frac { 2 \sqrt { 6 } } { 5 }\)
• D) \(\frac { 9 + 4 \sqrt { 3 } } { 12 - 3 \sqrt { 3 } }\)

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Definitions:

Positive Reinforcement

A process in behavior analysis in which a desirable stimulus is presented after a behavior, increasing the likelihood of the behavior being repeated.

Fixed-Interval

A type of reinforcement schedule in operant conditioning where the first response is rewarded only after a specified amount of time has elapsed.

Schedule Of Reinforcement

A tactic in behavioral psychology that involves varying the frequency and timing of reinforcements to influence behavior.

Studying

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