Solve the Equation for Solutions in the Interval [0, 2 $\tan 2 x - \tan x = 0$

question 361

Multiple Choice

Solve the equation for solutions in the interval [0, 2 π) .
- $\tan 2 x - \tan x = 0$

• A) \(\left\{ \frac { \pi } { 4 } , \frac { 5 \pi } { 4 } \right\}\)
• B) \(\left\{ \frac { \pi } { 12 } , \frac { \pi } { 6 } , \frac { 2 \pi } { 3 } , \frac { 7 \pi } { 12 } , \frac { 7 \pi } { 6 } , \frac { 13 \pi } { 12 } , \frac { 5 \pi } { 3 } \right\}\)
• C) \(\{ 0 , \pi \}\)
• D) \(\{ 0 \}\)

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Definitions:

Positive Reinforcer

A trigger that, when applied post-behavior, augments the likelihood of the recurrence of that behavior.

Primary Reinforcer

A stimulus that satisfies a basic need or instinct, such as food, water, or warmth, and is inherently rewarding.

Fixed-Ratio Schedule

A reinforcement strategy in operant conditioning where a response is rewarded only after a specified number of responses.

Reinforcement

In behavioral psychology, a process by which the likelihood of a behavior's occurrence is increased through the addition of a stimulus following that behavior.