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

question 20

Multiple Choice

Use the formula $a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \sin ( B \theta + C )$ ,where $C = \arctan ( b / a ) , a = 1 , b = 3 , B = 2$ ,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) \(\sqrt { 10 }\) \(\sin ( 2 \theta + 1.249 )\)
• B) \(\sqrt { 10 }\) \(\sin ( \theta - 1.249 )\)
• C) \(\sqrt { 10 }\) \(\sin ( 2 \theta - 1.249 )\)
• D) \(\sqrt { 10 }\) \(\sin ( \theta + 1.249 )\)
• E) \(\sin ( 2 \theta + 1.249 )\)

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Definitions:

B Cells

A type of white blood cell part of the immune system, responsible for producing antibodies to fight infections.

Dendritic Cells

Immune cells that process antigen material and present it on their surface to T cells, acting as messengers between the innate and the adaptive immune systems.

Macrophages

A type of white blood cell that engulfs and digests cellular debris, bacteria, and other foreign substances in the body.

Antigen Presenting Cells

Specialized immune cells that process and present antigens to T cells, initiating an immune response.