Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kiszer4148

  • 3 years ago

Find an equation of the tangent line to the curve y=sin(7x)+cos(6x) at the point (pi/6,y(pi/6))

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

    do you know how to find slope of tangent at a point ?

  2. kiszer4148
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I will first take the derivative of that equation and then plug in x. For some reason I'm still not getting the correct answer to this problem.

  3. hartnn
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    show your work, i'll spot the error.

  4. hartnn
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    this way it'll get solved faster

  5. kiszer4148
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    7cos(7x)−6sin(6x) is the derivative. So plugging in pi/6 for x to get the slope. We get -6.062177826

  6. hartnn
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok, i get the same thing, thats your slope

  7. kiszer4148
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So putting this is slope intercept form you get \[Y=-6.062177826x+b\] My only concern is with the y value being y(pi/6)

  8. hartnn
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, to get y(pi/6) put x=pi/6 in y sin(7pi/6)+cos(6pi/6) = ...

  9. kiszer4148
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wait where am i putting the pi/6?

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

    to get y(pi/6) from y(x) =sin(7x)+cos(6x) just replace x = pi/6 there

  11. kiszer4148
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so -1.5?

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

    yup so point is (pi/6, -1.5) with slope = -6.06 now can u find the equation of line ?

  13. kiszer4148
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So b=1.674148887 (I kept the full value of the slope in.) So the answer would be y=-6.062177826x+1.674148887

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

    yes, i get the same answer.

  15. kiszer4148
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Thank you very much for your help today.

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

    welcome very much :)

  17. 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