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

Answer:

C. B-Value = 8π

B. Period =1/4

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.

$\begin{gathered} \text{Period}=\frac{2\pi}{B} \\ =\frac{2\pi}{8\pi} \\ =\frac{2}{8} \\ \text{Period}=\frac{1}{4} \end{gathered}$

The period of the function is 1/4.