Solve the Equation for Exact Solutions $$\cot ^ { - 1 } x + \cot ^ { - 1 } ( 1 + x ) = \frac { \pi } { 4 }$$

question 91

Multiple Choice

Solve the equation for exact solutions.
- $$\cot ^ { - 1 } x + \cot ^ { - 1 } ( 1 + x ) = \frac { \pi } { 4 }$$

• A) \(\{ - 5 + 3 \sqrt { 2 } \}\)
• B) \(\left\{ - \frac { 3 } { 4 } , \frac { 3 } { 4 } \right\}\)
• C) \(\left\{ \frac { 1 } { 2 } \right\}\)
• D) \(\{ 2 \}\)

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Definitions:

Continuous Reinforcement

A learning process in which a desired behavior is reinforced every time it occurs, leading to quicker acquisition of the behavior.

Complex Tricks

Elaborate or sophisticated methods used to achieve a specific goal, often requiring skill and ingenuity.

Resistance To Extinction

The persistence of a learned behavior even when it is no longer reinforced, often observed in conditioning experiments.

Stimulus Generalization

The tendency for the conditioned response to be evoked by stimuli that are similar to the conditioned stimulus.