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anonymous

  • one year ago

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?

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  1. anonymous
    • one year ago
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    \[y=\frac{ 1 }{ 4} \cos \frac{ 2\pi }{ 3 } \]theta

  2. kropot72
    • one year ago
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    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.

  3. kropot72
    • one year ago
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    In your equation \[\large B=\frac{2\pi}{3}\] and |A| = 1/4

  4. anonymous
    • one year ago
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    So the period is T= 2pi/3 and the amplitude is 1/4?

  5. kropot72
    • one year ago
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    The amplitude is 1/4. The period is given by \[\large T=\frac{2\pi}{\frac{2\pi}{3}}\]

  6. anonymous
    • one year ago
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    So that's the period, the amplitude is 1/4. How do we find the midline cuz i have to show my work

  7. kropot72
    • one year ago
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    \[\large T=\frac{2\pi}{\frac{2\pi}{3}}=\frac{2\pi}{1}\times\frac{3}{2\pi}=?\]

  8. anonymous
    • one year ago
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    3?

  9. kropot72
    • one year ago
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    Correct, the period is 3 units. There is no y-shift, therefore the equation of the midline is y = 0

  10. kropot72
    • one year ago
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    The equation y = 0 is simply the x-axis.

  11. anonymous
    • one year ago
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    How do we find the midline though? @kropot72

  12. anonymous
    • one year ago
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    @UsukiDoll

  13. anonymous
    • one year ago
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    @Astrophysics

  14. kropot72
    • one year ago
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    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."

  15. kropot72
    • one year ago
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    |dw:1437193916695:dw|

  16. kropot72
    • one year ago
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    @EllenJaz17 Do you need more explanation?

  17. anonymous
    • one year ago
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    No thank you so much, sorry i was writing everything down

  18. anonymous
    • one year ago
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    Once again thank you so much for your help, I gave you a medal

  19. kropot72
    • one year ago
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    You're welcome :)

  20. anonymous
    • one year ago
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    I hate trig

  21. anonymous
    • one year ago
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    Yeah and this is supposed to be an Algebra class

  22. anonymous
    • one year ago
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    That's stupid i didn't learn that crap until last year in pre-cal/trig

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