Question

I really need help (will give medal)

A sound wave is modeled with the equation y = 1/4 cos 2 pi/3 theta

a. Find the period. Explain your method.
b. Find the amplitude. Explain your method.
c. What is the equation of the midline? What does it represent?

I really need help on this one!

Answer 1

\[y = \frac{ 1 }{ 4 } \cos \frac{ 2\pi }{ 3 } \Theta\]

Answer 2

HI!!

Answer 3

period
\[\cos(bx)\] is
\[\huge \frac{2\pi}{b}\] in your case \(\huge b=\frac{2\pi}{3}\)

Answer 4

divide and you will get it

Answer 5

b) amplitude is the number out front
i.e \(\frac{1}{4}\)

Answer 6

c) since you are not adding or subtracting anything outside, the "midline" is the x axis \(y=0\)

Answer 7

2pi / 3 = 2.094 or about 2.1

Answer 8

lol no

Answer 9

the period is not \(b\) it is \(\frac{2\pi}{b}\) and the question is no asking for you to convert to decimal form

Answer 10

\[\huge \frac{2\pi}{\frac{3\pi}{2}}\] is what you need to compute
put the calculator away it will not help you here

Answer 11

I see, sorry I'm not the best at math. English is my strong suit.

Answer 12

you know how to compute that? "invert and multiply" as the math teachers say

Answer 13

Thank you for your help!