anonymous
  • anonymous
A sound wave is modeled with the equation y= 1/4 cos 2pi/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 is represent?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
\[y=\frac{ 1 }{ 4} \cos \frac{ 2\pi }{ 3 } \]theta
kropot72
  • kropot72
In the equation \[\large y=A \cos(Bx)\] the period T is given by \[\large T=\frac{2\pi}{B}\] and the amplitude is absolute value of A = |A| You need to plug the values into the above to find the values of the period and the amplitude.
kropot72
  • kropot72
In your equation \[\large B=\frac{2\pi}{3}\] and |A| = 1/4

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anonymous
  • anonymous
So the period is T= 2pi/3 and the amplitude is 1/4?
kropot72
  • kropot72
The amplitude is 1/4. The period is given by \[\large T=\frac{2\pi}{\frac{2\pi}{3}}\]
anonymous
  • anonymous
So that's the period, the amplitude is 1/4. How do we find the midline cuz i have to show my work
kropot72
  • kropot72
\[\large T=\frac{2\pi}{\frac{2\pi}{3}}=\frac{2\pi}{1}\times\frac{3}{2\pi}=?\]
anonymous
  • anonymous
3?
kropot72
  • kropot72
Correct, the period is 3 units. There is no y-shift, therefore the equation of the midline is y = 0
kropot72
  • kropot72
The equation y = 0 is simply the x-axis.
anonymous
  • anonymous
How do we find the midline though? @kropot72
anonymous
  • anonymous
anonymous
  • anonymous
kropot72
  • kropot72
As I posted previously "There is no y-shift, therefore the equation of the midline is y = 0" "The equation y = 0 is simply the x-axis."
kropot72
  • kropot72
|dw:1437193916695:dw|
kropot72
  • kropot72
@EllenJaz17 Do you need more explanation?
anonymous
  • anonymous
No thank you so much, sorry i was writing everything down
anonymous
  • anonymous
Once again thank you so much for your help, I gave you a medal
kropot72
  • kropot72
You're welcome :)
anonymous
  • anonymous
I hate trig
anonymous
  • anonymous
Yeah and this is supposed to be an Algebra class
anonymous
  • anonymous
That's stupid i didn't learn that crap until last year in pre-cal/trig

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