Use Fundamental Identities to Simplify the Expression Below and Then $\sin \left( \frac { \pi } { 2 } - x \right) \csc x$

question 184

Multiple Choice

Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. $\sin \left( \frac { \pi } { 2 } - x \right) \csc x$

• A) \(\tan x\)
• B) \(\cos \mathrm { x } \csc \mathrm { x }\)
• C) \(\cot x\)
• D) \(\frac { \cos x } { \sin x }\)
• E) \(\frac { 1 } { \tan x }\)

---

Definitions:

Big Five Model

A psychological model outlining five broad dimensions of personality: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Extroversion

A personality trait characterized by outgoingness, high levels of social energy, and a preference for social interaction.

Conscientiousness

Conscientiousness is a personality trait marked by diligence, carefulness, thoroughness, and the desire to do a task well, often linked to better job performance and productivity.

Big Five Model

A psychological theory that identifies five primary dimensions of personality: openness, conscientiousness, extraversion, agreeableness, and neuroticism.