Find the Exact Solutions of the Given Equation in the Interval

question 118

Multiple Choice

Find the exact solutions of the given equation in the interval [0, 2 $\pi$ ) . sin 2x = sin x

• A) \(x = \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 }\)
• B) \(x = 0 , \frac { \pi } { 3 } , \pi , \frac { 5 \pi } { 3 }\)
• C) \(x = \frac { \pi } { 2 } , \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }\)
• D) \(x = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi , \frac { 4 \pi } { 3 } , \frac { 5 \pi } { 3 }\)
• E) \(x = 0\)

---

Definitions:

Very Poor Physical Condition

A state of health characterized by low levels of physical fitness and wellness, often associated with illness or a sedentary lifestyle.

Heart Rate

The number of heartbeats per unit of time, usually per minute, an important indicator of heart health and physical condition.

Maintenance Stage

This refers to the phase in the Transtheoretical Model of Change during which new behavior is consolidated and maintained.

Quit Smoking

The process of discontinuing tobacco smoking, pivotal for improving health and reducing risk of related diseases.