Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kenneyfamily

  • 2 years ago

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

  • This Question is Closed
  1. kenneyfamily
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is it y=3sin(3x/2-pi/4)?

  2. AERONIK
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3sin((4/3)t+(pi/4))

  3. kenneyfamily
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what about -3sin(4x/3-pi/4)?

  4. AERONIK
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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...

  5. AERONIK
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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.

  6. kenneyfamily
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so my answer is wrong?

  7. kenneyfamily
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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)

  8. kenneyfamily
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    those are my choices @AERONIK

  9. AERONIK
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you got me wrong friend, your choices are definitely correct....

  10. kenneyfamily
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait i'm confused

  11. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\huge y=a \sin(bx-c)+d\]\[a=amplitude\]\[\frac{2\pi}{b}=period\]\[c=phase \; shift\]

  12. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  13. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\large y=3\sin\left(\frac{4}{3}x-\frac{\pi}{4}\right)\]

  14. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Mmmmm I'm not sure if I did that correctly, was I suppose to factor the 4/3 into the pi/4? I forget...

  15. kenneyfamily
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thats not an option :(

  16. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Hmm

  17. kenneyfamily
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait yes i think so

  18. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yah I think the b is suppose to be like this... \[\huge y=a \sin (b(x-c))+d\]

  19. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Which IS one of your options, if you distribute the 4/3 to the pi/4 term.

  20. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Hmm how did you arrive at your answer? :o

  21. kenneyfamily
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i think its b. y = 3 sin (4x/3 - π/3)

  22. zepdrix
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Hmmm I think so too :O

  23. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.