The curve above is the graph of a sinusoidal function It goe

The curve above is the graph of a sinusoidal function. It goes through the point (8,1). Find a sinusoidal function that matches the given graph. If needed, you can enter pi as pi in your answer. f(x) = Find a formula for the trigonometric function graphed below. Use X as the independent variable in your formula. f(x) =

Solution

1)period =2/B=16

=>B=2/16

=>B=/8

amplitude =A=1

phase shift =-C/B=8

=>C=-

comparing with y =Acos(Bx+C)

f(x)=cos((/8)x- )

f(x)=-cos((/8)x)

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2)amplitude =A=0.6

period =2/B=/14

B=28

phase shift =0

=>C=0

y=0.6cos(28x)