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

question 8

Multiple Choice

Use the formula $$a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \sin ( B \theta + C )$$ ,where $C = \arctan ( b / a ) , a = 3 , b = , B = 1$ 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) \(\sin ( \theta + 0.3218 )\)
• B) \(\sin ( \theta - 0.3218 )\)
• C)3 \(\sin ( \theta + 0.3218 )\)
• D) \(\sqrt { 10 }\) \(\sin ( \theta - 0.3218 )\)
• E) \(\sqrt { 10 }\) \(\sin ( \theta + 0.3218 )\)

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