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kenneyfamily Group Title

write an equation of a sine function with amplitude 3, period 3pi/2 and phase shift pi/4

  • 2 years ago
  • 2 years ago

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  1. kenneyfamily Group Title
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    is it y=3sin(3x/2-pi/4)?

    • 2 years ago
  2. AERONIK Group Title
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    3sin((4/3)t+(pi/4))

    • 2 years ago
  3. kenneyfamily Group Title
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    what about -3sin(4x/3-pi/4)?

    • 2 years ago
  4. AERONIK Group Title
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    general equation of a simple harmonic oscillator is Asin(wt). where A is the amplitude and w is the angular frequency.. amd 2pi/w is the time period...

    • 2 years ago
  5. AERONIK Group Title
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    the equation you are giving should be a function of time and not distance... and by adding a minus sign you are just changing its phase by pi.

    • 2 years ago
  6. kenneyfamily Group Title
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    so my answer is wrong?

    • 2 years ago
  7. kenneyfamily Group Title
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    a. y = -3 sin (3x/2 - 3π/8) b. y = 3 sin (4x/3 - π/3) c. y = -3 sin (4x/3 - π/4) d. y = 3 sin (3x/2 - π/4)

    • 2 years ago
  8. kenneyfamily Group Title
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    those are my choices @AERONIK

    • 2 years ago
  9. AERONIK Group Title
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    you got me wrong friend, your choices are definitely correct....

    • 2 years ago
  10. kenneyfamily Group Title
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    wait i'm confused

    • 2 years ago
  11. zepdrix Group Title
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    \[\huge y=a \sin(bx-c)+d\]\[a=amplitude\]\[\frac{2\pi}{b}=period\]\[c=phase \; shift\]

    • 2 years ago
  12. zepdrix Group Title
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    Let's figure out our b term. \[\large \frac{2\pi}{b}=\frac{3\pi}{2}\]\[\large b=\frac{4}{3}\] I hope I calculated that correctly hehe

    • 2 years ago
  13. zepdrix Group Title
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    \[\large y=3\sin\left(\frac{4}{3}x-\frac{\pi}{4}\right)\]

    • 2 years ago
  14. zepdrix Group Title
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    Mmmmm I'm not sure if I did that correctly, was I suppose to factor the 4/3 into the pi/4? I forget...

    • 2 years ago
  15. kenneyfamily Group Title
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    thats not an option :(

    • 2 years ago
  16. zepdrix Group Title
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    Hmm

    • 2 years ago
  17. kenneyfamily Group Title
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    wait yes i think so

    • 2 years ago
  18. zepdrix Group Title
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    Yah I think the b is suppose to be like this... \[\huge y=a \sin (b(x-c))+d\]

    • 2 years ago
  19. zepdrix Group Title
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    Which IS one of your options, if you distribute the 4/3 to the pi/4 term.

    • 2 years ago
  20. zepdrix Group Title
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    Hmm how did you arrive at your answer? :o

    • 2 years ago
  21. kenneyfamily Group Title
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    i think its b. y = 3 sin (4x/3 - π/3)

    • 2 years ago
  22. zepdrix Group Title
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    Hmmm I think so too :O

    • 2 years ago
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