A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

*FAN AND MEDAL* help with Where are the asymptotes of f(x) = tan 4x from x = 0 to x =?

  • This Question is Closed
  1. Thats_Kyy
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hold On Give Me A min Okay?

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay!

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    good luck

    1 Attachment
  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can you explain that ?? @Albany_Goon

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that all i got lemme do sum more digging

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay

  7. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I don't understand why all of your questions end in to x=?

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i dont know either! theyre practice questions and im trying to review but ive never answered ones that end with x=?

  9. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    anyways tan(4x)=sin(4x)/cos(4x) you just need to find when the bottom is 0 that is solve cos(4x)=0 for x

  10. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    this will give you the vertical asymptotes of the graph of f(x)=tan(4x)

  11. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\cos(4x)=0 \\ \\ \text{ I guess we will just find them all } \\ \text{ first do you know how to solve } \\ \cos(u)=0\]

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no i dont

  13. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    can you look on the unit circle and know for which angles the x coordinates are 0 http://managementscience.biz/wp-content/uploads/2014/10/unit-circle.gif

  14. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I will tell you one angle at 90 deg I see we have the x-coordinate is 0 so u=pi/2 rad is an answer to cos(u)=0 can you give another from looking at that picture?

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3pi/2?

  16. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    awesome! so we have the solutions to: \[\cos(u)=0 \text{ are } u=\frac{\pi}{2}+2\pi n \text{ or } u=\frac{3\pi}{2}+2 \pi n \\ \text{ but we wanted to solve} \\ \cos(4x)=0 \\ \text{ well this equation is exactly the same as the one before except we had } \\ u \text{ instead of } 4x \\ \text{ just replace the } u's \text{ in the first equation } \\ \text{ with } 4x \\ \text{ that is you should have } \\ \cos(4x)=0 \text{ has solutions given by } \\ 4x=\frac{\pi}{2}+2 \pi n \text{ or } 4x=\frac{3\pi}{2}+2 \pi n \\ \] oh and n is an integer

  17. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you can finish solving for x by multiplying both sides by 1/4

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and then whatever i get after solving for x will be the asymptotes?

  19. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep but make sure you leave the x in you know the asymptote should be written as an equation not just a value that is your answer should be x=something just take the equations I have given you and multiply both sides by 1/4

  20. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    this will isolate the x

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can i do it and then you tell me if i get it right?

  22. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sure

  23. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay give me a minute please

  24. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok I will be here as long as my internet doesn't mess up like it did earlier :p

  25. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    been having some internet issues with my provider :(

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how do you multiply 1/4 times \[2\pi n\]

  27. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and its fine i do to

  28. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[4x=\frac{\pi}{2}+2 \pi n \text{ or } 4x=\frac{3\pi}{2}+2 \pi n \\ \text{ multiply both sides by } \frac{1}{4} \\ x=\frac{\pi}{2(4)}+\frac{2 \pi n}{4} \text{ or } x=\frac{3 \pi}{2(4)}+\frac{2 \pi n}{4} \\ \text{ simplifying } \\ x=\frac{\pi}{8}+\frac{\pi n}{2} \text{ or } x=\frac{3\pi}{8}+ \frac{\pi n }{2}\] note: since 2/4=1/2

  29. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    gotcha! thank you so much!!!

  30. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    np

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.