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Deside curve tangent

  1. Mar 22, 2014 #1
    1. The problem statement, all variables and given/known data
    Deside curve tangent in point x=-π/4


    2. Relevant equations
    f(x)=1/3sin(3x-π/4)
    y=f(x)


    3. The attempt at a solution
    f`(-π/4)=-1
    using the tangent equation
    y=kx+m
    y=-1*(-π/4)+m
    y=1/3sin(3(-π/4)-π/4)
    ≈3.33*10^-14
    3.33*10^-14=-1*(-π/4)+m
    f(x)≈-1*(-π/4)+0,79
    is this right ? I have a bad feeling...
     
  2. jcsd
  3. Mar 22, 2014 #2

    Mark44

    Staff: Mentor

    Deside???
    What is that?
    Is the problem to find the line that is tangent to the curve at x = -π/4?
    No.
    When x = -π/4, y = 1/3 * sin(3(-π/4)-π/4)) = 1/3 * sin(-π). This is one of the angles whose sine and cosine you should have committed to memory. It looks like you might be using a calculator to do this, and either have the calculator in the wrong mode (it should be in radian mode) or you are using an approximation to π. Either way will not give you the right answer.

     
  4. Mar 22, 2014 #3

    Mark44

    Staff: Mentor

    By the way, questions that involve taking derivatives should be posted in the Calculus & Beyond section, not in the Precalculus section.
     
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