Write the Expression in Terms of Sine and Cosine, and Simplify

question 46

Multiple Choice

Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.
- $\sin ^ { 2 } x \left( \cot ^ { 2 } x + 1 \right)$

• A) \(- 1\)
• B) \(\tan ^ { 2 } x\)
• C) \(\cos ^ { 2 } x + 1\)
• D) 1

---

Definitions:

Compliant Personality

A personality trait characterized by a predisposition to agree with others and yield to social pressure or expectations.

Neurotic Trend

Patterns of thinking, feeling, and behaving that are maladaptive and stem from unresolved psychological conflicts.

Horney

Karen Horney, a German psychoanalyst who postulated theories on neurosis, personal growth, and self-realization, emphasizing cultural and social factors.

Self-Image

An individual's conception and expression of their own identity, including perceptions of abilities, appearance, and personality.