Indefinite Integration

\(\int \frac{\sin x+\sin ^3 x}{\cos 2 x} d x=A \cos x+B \log \mathrm{f}(x)+c\)
(where \(\mathrm{c}\) is a constant of integration). Then values of \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{f}(x)\) are