Use the Formula $a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \sin ( B \theta - C )$

question 11

Multiple Choice

Use the formula $a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \sin ( B \theta - C )$ ,where $C = \arctan ( a / b ) , a = 2 , b = 8 , B = 1$ ,to rewrite the trigonometric expression in the following form.​ $y = \sqrt { a ^ { 2 } + b ^ { 2 } } \sin ( B \theta - C )$ ​ $a \sin B \theta + b \cos B \theta$ ​

• A)2 \(\cos ( \theta + 0.245 )\)
• B) \(2 \sqrt { 17 }\) \(\cos ( \theta - 0.245 )\)
• C) \(2 \sqrt { 17 }\) \(\cos ( \theta + 0.245 )\)
• D)2 \(\cos ( \theta - 0.245 )\)
• E)8 \(\cos ( \theta - 0.245 )\)

---

Definitions:

Reflective Practice

A method used by counselors that emphasizes careful consideration of theoretical and empirical sources of knowledge, as well as one’s own beliefs and assumptions, as a precursor to practice.

Reflect

The act of thinking deeply or carefully about something, often leading to insights or reconsideration of attitudes, behaviors, or beliefs.

Theoretical Knowledge

Knowledge that is based on theories and principles, often contrasted with practical knowledge or experience.

Stage Theory

A psychological theory that proposes development occurs in distinct and successive stages, each with its own challenges and characteristics.