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)​ \(\arctan \left( \frac { 1 } { 5 } \right) , \arctan \left( \frac { 1 } { 5 } \right) + 2 \pi , \arctan \left( - \frac { 1 } { 5 } \right) + \pi , \arctan \left( - \frac { 1 } { 5 } \right) + 2 \pi\)

Understand the psychological and social dynamics faced by families of sexual minorities.

Interpret the influence of religious beliefs on the experiences of sexual minorities.

Describe the process and challenges of stigma internalization among marginalized groups.

Analyze the relationship between gender nonconformity in childhood and adult sexual orientation.

---

Definitions:

Depression

A common and serious mood disorder that affects how one feels, thinks, and handles daily activities, characterized by persistent feelings of sadness and loss of interest.

Adaptive Functioning

The ability to manage daily life tasks in various domains such as communication, self-care, home living, social skills, and more, often used in the context of developmental or psychological assessment.

Abnormal Behavior

Patterns of actions, thoughts, or emotions considered outside the norm by society or culture, or that are indicative of mental health issues.

Personal Distress

A negative emotional response to a stressful situation, which is personal and subjective in nature.