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

Multiple Choice

Use the formula $\operatorname { asin } B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \sin ( B \theta + C )$ where $\bar { C } = \arctan ( b / a ) , a > 0$ to find the trigonometric expression in the following forms.
$\begin{array} { l } y = \sqrt { a ^ { 2 } + b ^ { 2 } } \sin ( B \theta + C ) \\2 \sin \theta + 7 \cos \theta\end{array}$

A) $\sqrt { 53 } \sin ( \theta + 1.2925 )$
B) $\sqrt { 53 } \sin ( \theta - 1.2925 )$
C) $2 \sin ( \theta + 1.2925 )$
D) $7 \sin ( \theta + 1.2925 )$
E) $\sin ( \theta + 1.2925 )$