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

question 46

Multiple Choice

Use inverse functions where needed to find all solutions of the equation in the interval [0,2π) .​ $\cot ^ { 2 } x - 25 = 0$ ​

• A) \(\arctan \left( \frac { 1 } { 5 } \right) , \arctan \left( \frac { 1 } { 5 } \right) + \pi , \arctan \left( \frac { 1 } { 5 } \right) + \pi , \arctan \left( \frac { 1 } { 5 } \right) + 2 \pi\)
• B)​ \(\arctan \left( \frac { 1 } { 5 } \right) , \arctan \left( \frac { 1 } { 5 } \right) + \pi , \arctan \left( \frac { 1 } { 5 } \right) + \pi , \arctan \left( \frac { 1 } { 5 } \right) + \pi\)
• C)​ \(\arctan \left( \frac { 1 } { 5 } \right) , \arctan \left( \frac { 1 } { 5 } \right) + \pi , \arctan \left( - \frac { 1 } { 5 } \right) + \pi , \arctan \left( - \frac { 1 } { 5 } \right) + 2 \pi\)
• D)​ \(\arctan \left( \frac { 1 } { 5 } \right) , \arctan \left( \frac { 1 } { 5 } \right) + 2 \pi , \arctan \left( - \frac { 1 } { 5 } \right) + 2 \pi , \arctan \left( - \frac { 1 } { 5 } \right) + 2 \pi\)
• E)​ \(\arctan \left( \frac { 1 } { 5 } \right) , \arctan \left( \frac { 1 } { 5 } \right) + 2 \pi , \arctan \left( - \frac { 1 } { 5 } \right) + \pi , \arctan \left( - \frac { 1 } { 5 } \right) + 2 \pi\)

---

Definitions:

Poor Reliability

Describes a measure or test that fails to produce consistent and stable results over time.

Self-Esteem

An individual’s subjective evaluation of their own worth or the attitude toward oneself ranging from positivity to negativity.

Scores

Numerical expressions representing a measurement or assessment result, often used in the context of tests or evaluations.

Good Validity

The extent to which a test or assessment measures what it is supposed to measure accurately.