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

question 56

Multiple Choice

Use the formula $a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \cos ( B \theta - C )$ ,where $C = \arctan ( a / b ) , a = 9 , b = 2 , B = 2$ 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) \(\sqrt { 85 }\) \(\cos ( 3 \theta - 1.3521 )\)
• B)9 \(\cos ( 3 \theta + 1.3521 )\)
• C)9 \(\cos ( 3 \theta - 1.3521 )\)
• D) \(\sqrt { 85 }\) \(\cos ( 3 \theta + 1.3521 )\)
• E)2 \(\cos ( 3 \theta - 1.3521 )\)

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Definitions:

Greater Than Or Equal To

A relational operator that checks if the value on the left side is greater than or equal to the value on the right side.

Evaluates

The process of calculating or determining the value of an expression based on its operands and operations.

Relational Operator

Operators used in programming languages to compare two values, determining their relationship (such as equals, greater than, less than).

==

In many programming languages, "==" is the equality operator that tests if two values are equal.