Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Yahoo! Group Title

Find the general solution of tan 3x = 3 tanx

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @experimentX

    • 2 years ago
  2. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    tan 3x = ? ... expand this, solve the cubic or quartic equation for tan

    • 2 years ago
  3. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Let me try by that way

    • 2 years ago
  4. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\tan 3x = \frac{ 3tanx - \tan^3 x }{ 1-3\tan^2x }\]

    • 2 years ago
  5. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{ 3\tan - \tan^3 x }{ 1-3 \tan^2 x } = 3tanx\] \[\tan^3 x = 9\tan^3 x\]

    • 2 years ago
  6. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    wolf says solution is n(pi) http://www.wolframalpha.com/input/?i=tan%283x%29+%3D+3+tan%28x%29

    • 2 years ago
  7. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    But hw...???

    • 2 years ago
  8. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    must be quartic in tan(x)

    • 2 years ago
  9. Yahoo! Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Nope...!

    • 2 years ago
  10. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    8 tan^3 x= 0 tan x = 0

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

    tan(3x) = should have cubic ... you have only square ( quadratic)

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

    tan x=0 only at n*pi

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

    |dw:1352989835689:dw|

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

    thats what he used.... tan^3 = 9 tan^3 so, 8tan^3= 0 --> tan x=0 which is true only for x=n*pi

    • 2 years ago
  15. experimentX Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1352990051780:dw|

    • 2 years ago
    • Attachments:

See more questions >>>

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.