Find All Solutions of the Following Equation on the Interval $[ 0,2 \pi )$

question 13

Multiple Choice

Find all solutions of the following equation on the interval $[ 0,2 \pi )$ .
$$\csc ^ { 2 } ( x ) - 2 = 0$$

• A) \(\frac { \pi } { 4 } , \frac { 3 \pi } { 4 }\)
• B) \(\frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }\)
• C) \(\frac { \pi } { 4 } , \frac { 7 \pi } { 4 }\)
• D) \(\frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }\)
• E) \(\frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 }\)

---

Definitions:

Positive Attitude

A mindset characterized by optimism, constructive thinking, and a belief in positive outcomes.

Job Performance

The degree to which an employee successfully fulfills the duties, objectives, and roles associated with their job.

Trade-Offs

Decisions involving a compromise between two or more factors, often requiring the sacrifice of one aspect in favor of another.

Emotional Intelligence

The ability to manage ourselves and our relationships effectively.