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Find the curvature of y=sec x.

  1. Mar 8, 2015 #1
    1. The problem statement, all variables and given/known data
    Find the curvature of y=sec x.

    2. Relevant equations
    None.

    3. The attempt at a solution
    k(x)=abs(y")/[1+(y')^2]^(3/2)
    y'=secx*tanx
    y"=secx(sec^2 x+tan^2 x)
    k(x)=abs(secx(sec^2 x+tan^2 x))/[1+(secx*tanx)^2]^(3/2)
    how do I simplify this?
     
  2. jcsd
  3. Mar 8, 2015 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    Are you sure it can be simplified? WolframAlpha finds suggestions, but I don't think they are simpler.
     
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