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

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) $\sqrt { 10 }$ $\sin ( \theta + 0.3218 )$

Correct Answer:

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