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    Cycloid power series. problem from hell.

    Problem from the sky Ignoring homotheties, let the following cycloid: x = t - sin t y = 1 - cos t, t in [0, 2pi]. From this, we have y' = dy/dx = (dy/dt) / (dx/dt) = (sin t) / (1 - cos t) = ... = cot (t/2), and then y'' = d(y')/dx = ... = -(1/4) [ cosec (t/2) ]^4, ..., "AND SO ON" :rofl...
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