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

Dama28 Group Title

Solve the equation! 3 tan^3θ = tan θ

  • 2 years ago
  • 2 years ago

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

    Just like you used to solve polynomials back in algebra. Collecte everything to one side. Factor everything. Give it a go!

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

    lol dont need to go that far. let x = tan(theta), then 3x^3 = x, so either x = 0, or you can divide x from both sides to get: 3x^2 = 1 so x can be 0, 1/sqrt(3), or -1/sqrt(3).

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

    In other words, collect and factor. Of course, you should solve the actual problem by finding the angle that gives these tangents.

    • 2 years ago
  4. Dama28 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    now I need to find all real solutions with k being any integer.

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

    You have \(\tan(\theta) = 0\), \(\tan(\theta) = \dfrac{1}{\sqrt{3}}\), and \(\tan(\theta) = \dfrac{-1}{\sqrt{3}}\). Track them down.

    • 2 years ago
  6. Dama28 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok, so...for tan(θ)=0 I get 0 and pi. for tan(θ)=1/√3 I get pi/6 and 7pi/6. And for tan(θ)=−1/√3 I get 5pi/6 and 11pi/6. how do I know if I would add pi k to each or 2pi k?

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

    |dw:1353819049038: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.