Find All Solutions to the Equation in the Interval [0 $\sin 2 x = - \sin x$

question 159

Multiple Choice

Find all solutions to the equation in the interval [0, 2) .
- $\sin 2 x = - \sin x$

• A) \(\frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }\)
• B) \(0 , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 }\)
• C) \(\frac { \pi } { 8 } , \frac { 9 \pi } { 8 }\)
• D) No solution

---

Definitions:

Punishment by Removal

Punishment by removal involves decreasing the likelihood of a behavior by removing a desirable stimulus following the behavior.

Negative Reinforcement

A behavioral psychology concept where a response or behavior is strengthened by stopping, removing, or avoiding a negative outcome or aversive stimulus.

Probability of Response

A measure of the likelihood that a specific behavior will occur in response to a given stimulus.

Fixed Ratio Schedule

A schedule of reinforcement where a response is reinforced only after a specified number of responses.