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Cycloid power series

  1. Dec 9, 2007 #1
    1. The problem statement, all variables and given/known data

    Find the first non-zero terms, the general term for the cycloid power series, and the interval of convergence for the cycloid power series.

    cycloid:
    y=-a+acos(theta)
    x=a(theta)-asin(theta)


    2. Relevant equations
    I know that f(a)+ f'(a)(x-a)+ f''(a)(x-a)^2... will give me the right
    answer but I don't know how to do this in parametric mode or what
    really do other than what i've listed below. Thanks!


    3. The attempt at a solution
    I know that the basics for taylor polynomials. for a cycloid,


    y=-a+acos(theta)
    x=a(theta)-asin(theta)

    so, dy/dx=-sin(theta)/1-cos(theta)

    I also know that d(dy/dx)/dx=d^2y/dx^2
     
  2. jcsd
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