Use Inverse Functions Where Needed to Find All Solutions of the Equation

question 21

Multiple Choice

Use inverse functions where needed to find all solutions of the equation in the interval [0,2π) .​ $\csc ^ { 2 } x - 7 \csc x = 0$ ​

• A)​ \(\arcsin \left( - \frac { 1 } { 7 } \right) + \pi , \arcsin \left( - \frac { 1 } { 7 } \right)\)
• B)​ \(\arcsin \left( - \frac { 1 } { 7 } \right) + \pi , \arcsin \left( \frac { 1 } { 7 } \right)\)
• C)​ \(\arcsin \left( - \frac { 1 } { 7 } \right) + \pi , \arcsin \left( \frac { 1 } { 7 } \right) + 2 \pi\)
• D)​ \(\arcsin \left( - \frac { 1 } { 7 } \right) + 2 \pi , \arcsin \left( \frac { 1 } { 7 } \right)\)
• E)​ \(\arcsin \left( \frac { 1 } { 7 } \right) + \pi , \arcsin \left( \frac { 1 } { 7 } \right)\)

---

Definitions:

Self-Awareness

Refers to the conscious knowledge of one's own character, feelings, motives, and desires.

Cultural Setting

The environment characterized by the customs, practices, languages, norms, and rituals of a specific group of people.

Cognitions

The mental actions or processes of acquiring knowledge and understanding through thought, experience, and the senses.

Values

Core beliefs or standards that guide individuals' actions and judgments, influencing behavior and attitudes.