Use Identities to Write the Expression as a Single Function $\sin \left( \frac { \pi } { 4 } - x \right)$

question 5

Multiple Choice

Use identities to write the expression as a single function of x or θ.
- $\sin \left( \frac { \pi } { 4 } - x \right)$

• A) \(\frac { \sqrt { 2 } } { 2 } \cos x - \frac { \sqrt { 2 } } { 2 } \sin x\)
• B) \(\frac { \sqrt { 2 } } { 2 } \cos x + \frac { \sqrt { 2 } } { 2 } \sin x\)
• C) \(- \cos x\)
• D) \(\sin x\)

---

Definitions:

Self-Interest

The consideration of one's own advantage or benefit, often as a motivation for actions in a business or economic context.

Ethical Decisions

Choices made based on moral principles and values, aiming to do what is right and avoid harm.

Ethical Standards

Principles that guide behavior in terms of what is considered right and wrong, aiming to ensure fairness, integrity, and respect in various contexts.

Integrity

The quality of being honest and having strong moral principles, considered foundational to trustworthiness and ethical behavior in personal and professional contexts.