Exclusive radiative weak decays of B_c meson in light cone QCD

We investigate the radiative B_c -> rho^+ gamma and B_c -> K^{+} gamma decays in the standard model. The transition form factors are calculated in the framework of the light cone QCD sum rules method. We estimate the branching ratios of the B_c -> rho^+ gamma and B_c -> K^{+} gamma decays.