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

amsterdam11

Could someone please help me with sqrt(3) tan2x=0

  • one year ago
  • one year ago

  • This Question is Closed
  1. lgbasallote
    Best Response
    You've already chosen the best response.
    Medals 3

    what do you want to do with it?

    • one year ago
  2. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    solve for x

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

    \[\sqrt 3 \tan (2x) = 0\] first step divide both sides by \(\sqrt{3}\) what do you get?

    • one year ago
  4. y2o2
    Best Response
    You've already chosen the best response.
    Medals 0

    x = 0 or x = 180

    • one year ago
  5. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    so tan2x=-1/sqrt(3)

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

    nope. \[\tan (2x) =\frac {0}{\sqrt3}\] now simplify this

    • one year ago
  7. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    oh dear! sorry i didnt realise! The question is sqrt(3) tan2x+1=0

    • one year ago
  8. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    sorry!

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

    haha..then you're right \[\tan(2x) =-\frac{1}{\sqrt 3}\]

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

    now second step. take the arctangent of both sides

    • one year ago
  11. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    ok so pi/6?

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

    remember that negative sign...and it's not yet over

    • one year ago
  13. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    how does the negative affect it?

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

    well it doesnt affect that much

    • one year ago
  15. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    how do you mean?

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

    |dw:1342705038280:dw|

    • one year ago
  17. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    oh ok so when you say take the arctangent, where do you go from there?

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

    so \[2x = -\frac{\pi}{6}\] now you divide both sides by 2

    • one year ago
  19. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    ok so x= =pi/12

    • one year ago
  20. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    -pi/12

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

    yup

    • one year ago
  22. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    is this one of the answers?

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

    what do you mean?

    • one year ago
  24. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    well there are 4 values for x right?

    • one year ago
  25. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    because there was a 2 between the tan and the x, which compresses the tan graph

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

    i cant remember that part...is it adding \(\pi\) or \(2\pi\)

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

    what do you mean 2 between tan and x..tan (2x)?

    • one year ago
  28. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    yeah, thats what i meant tan2x

    • one year ago
  29. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    i think its add pi

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

    im not sure about this part so im gonna ask @amistre64 for some assistance. please come sir.

    • one year ago
  31. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    Thank you for your help so far!!

    • one year ago
  32. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    what does amistre64 say?

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

    i dont think he's coming yet...i tried tagging him to come here...

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

    let me call a different one..he might be afk

    • one year ago
  35. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    Thank you :)

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

    @apoorvk pls help

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

    just add pi to the solution and it wont matter.

    • one year ago
  38. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    so 11pi/12?

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

    yep i do think its another answer.

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

    thanks @vamgadu you saved me there heh

    • one year ago
  41. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    yes thank you! :)

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

    its my pleasure @lgbasallote

    • one year ago
  43. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    however, in the back of my text book the answers are 5pi/12 11pi/12 17pi/12 and 23pi/12

    • one year ago
  44. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    and im wondering how my magic maths textbook got there

    • one year ago
  45. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    so we are going good with the 11pi/12 :D

    • one year ago
  46. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    and if pi is added again, we get 23pi/12 which is also good!

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

    you're doing right. so is there a further problem?

    • one year ago
  48. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    well there are sposed to be 4 answers

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

    then you add pi again

    • one year ago
  50. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    i have 2 :)

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

    2?

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

    subtract a pi, if want int he interval, [-2pi,2pi]

    • one year ago
  53. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    well i have 11pi/12 and 23pi/12

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

    -pi/12 and -13pi/12

    • one year ago
  55. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    so 11pi/12-pi?

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

    -pi/12 - pi

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

    11pi/12 - pi is -pi/12 (bringing you back to the orig thingy)

    • one year ago
  58. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    thats not one of the answers :?

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

    You started with 2x= -pi/6 if we call 2x theta, we have 2 solutions: |dw:1342706814544:dw| and x is 5pi/12 and 11pi/12 now add pi to each value to get the other 2 solutions or , noting that 2x+pi divided by 2 is x+pi/2 , add multiplies of pi/2 to get all four solutions starting with -pi/12 (which is 11pi/12 in the interval [0, 2pi] )

    • one year ago
  60. amsterdam11
    Best Response
    You've already chosen the best response.
    Medals 1

    can this be done on a tan graph?

    • one year 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.