Express the Function as a Sinusoid of the Form Y $$y = 7 \sin x + 5 \cos x$$

Express the function as a sinusoid of the form y = a sin (bx + c) .
- $$y = 7 \sin x + 5 \cos x$$

A) $y = 74 \sin \left( x + \sin - 1 \left( \frac { 5 } { \sqrt { 74 } } \right) \right)$
B) $y = \sqrt { 74 } \sin \left( x + \sin - 1 \left( \frac { 5 } { \sqrt { 74 } } \right) \right)$
C) $y = 12 \sin ( 7 x + 5 )$
D) $y = \sqrt { 74 } \sin \left( x + \cos - 1 \left( \frac { 5 } { \sqrt { 74 } } \right) \right\}$

Correct Answer:

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