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Express the Function as a Sinusoid of the Form Y y=3sin⁡(4x)+4cos⁡(4x)y = 3 \sin ( 4 x ) + 4 \cos ( 4 x )

Question 214

Multiple Choice

Express the function as a sinusoid of the form y = a sin (bx + c) .
- y=3sin⁡(4x) +4cos⁡(4x) y = 3 \sin ( 4 x ) + 4 \cos ( 4 x )


A) y=5sin⁡(4x−sin⁡−1(45) ) y = 5 \sin \left( 4 x - \sin ^ { - 1 } \left( \frac { 4 } { 5 } \right) \right) )
B) y=5sin⁡(4x−cos⁡−1(45) ) y = 5 \sin \left( 4 x - \cos ^ { - 1 } \left( \frac { 4 } { 5 } \right) \right)
C) y=5sin⁡(4x+cos⁡−1(45) ) y = 5 \sin \left( 4 x + \cos ^ { - 1 } \left( \frac { 4 } { 5 } \right) \right)
D) y=5sin⁡(4x+sin⁡−1(45) ) y = 5 \sin \left( 4 x + \sin - 1 \left( \frac { 4 } { 5 } \right) \right)

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