We find recurrent formulas for obtaining minimal polynomials p n(x) ∈ Z[x] of numbers of the form cos pi/n, where n ∈ N. We demonstrate that Galois groups of these polynomials are commutative. By the same token we give ...

We derive recurrent formulas for obtaining minimal polynomials for values of tangents and show that Galois groups of these polynomials are commutative. Thus we give examples of equations of arbitrarily high degrees solvable ...