Question

What is the b-value of y= 4cos(8pix)A. 8 pi xB. 0C. 8 piD. 4What is the period of the same function?A. 2piB. 1/4C. 4D. 8pi

Answer 1

The b-value of the given function y = 4cos(8pix) is 8pi and the period is 2pi.

Step-by-step explanation:

The b-value of the given function y = 4cos(8pix) is 8pi. The b-value represents the coefficient of x in the function. In this case, since the coefficient of x is 8pi, the b-value is 8pi.

The period of the same function is 2pi. The period of a cosine function is given by 2pi divided by the coefficient of x inside the cosine function. So in this case, the period is 2pi divided by 8pi, which simplifies to 1/4.

Answer 2

C. B-Value = 8π

B. Period =1/4

Step-by-step explanation:

The standard form of the trigonometric function is given as:

`y=A\cos (Bx-C)+D`

Comparing the given equation:

`y=4\cos (8\pi x)`

We see that the B-value of the function:

`\begin{gathered} Bx=8\pi x \\ B=8\pi \end{gathered}`

The B-Value is 8π.

In the standard form given above, the period of the function is calculated below.

`\begin{gathered} \text{Period}=(2\pi)/(B) \\ =(2\pi)/(8\pi) \\ =(2)/(8) \\ \text{Period}=(1)/(4) \end{gathered}`

The period of the function is 1/4.