Method of nonlinear monotone tangent in solution of transcendental equations

The method of curvilinear monotone tangent in solving transcendental equations is proposed. In the denominator of the non-linear term of the expression for the mentioned tangent, a regulating relation used, which is a straight line with a control parameter. The algorithm for solving the problem described. Three examples of solving transcendental equations performed. The high efficiency of using the proposed method shown.