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

question 24

Multiple Choice

Use the formula $a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \cos ( B \theta - C )$ ,where $C = \arctan ( a / b ) , a = 13 , b = 6 , B = 3$ to rewrite the trigonometric expression in the following form.​ $y = \sqrt { a ^ { 2 } + b ^ { 2 } } \cos ( B \theta - C )$ ​ $a \sin B \theta + b \cos B \theta$ ​

• A)6 \(\cos ( 3 \theta - 1.1384 )\)
• B) \(\sqrt { 205 }\) \(\cos ( 3 \theta + 1.1384 )\)
• C) \(\sqrt { 205 }\) \(\cos ( 3 \theta - 1.1384 )\)
• D)13 \(\cos ( 3 \theta + 1.1384 )\)
• E)13 \(\cos ( 3 \theta - 1.1384 )\)

---

Definitions:

Subservient

Describes someone who is excessively willing to obey others; subordinate in capacity or role.

Voting Rights Bill

Legislation aimed at protecting or expanding the right to vote, often by removing barriers to voter registration and participation.

North

A geographical and cultural region, often referred to in the context of the division between the Northern and Southern United States before and during the Civil War.