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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def deriv2(self, p):
 """ Second derivative of the Cauchy link function. Parameters p: array-like Probabilities Returns ------- g''(p) : array Value of the second derivative of Cauchy link function at `p` """

        a = np.pi * (p - 0.5)
        d2 = 2 * np.pi**2 * np.sin(a) / np.cos(a)**3
        return d2