ok, the domain of tan for which arctan exists (conventionally) is (-pi/2 , pi/2) -- really the domain of tan is R, but we're using the restricted one. Section 10.6: The Inverse Trigonometric Functions - Ostts.org. Domain and range of the function (arctan(ln(sqrtx)-1)))^3 Archive. Optimisation and implementation of the arctan function for the power. Take partial derivatives: u_x = (y/x^2) / (1 + (y/x)^2) = y/(x^2 + y^2) u_y = (-1/x)/(1 + (y/x)^2) = -x/(x^2 + y^2). So, u_xx = -2xy/(x^2 + y^2) and u_yy. Since the domain of arctan(x) is all real numbers, the only exclusions come from the values of t we discarded earlier, t = ±π. 4. Since x = tan(t), this means we.
domain of arctan
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