We report a doping dependent electronic Raman scattering measurements on iron-pnictide superconductor Ba(Fe\(_{1-x}\)Co\(_x\))\(_2\)As\(_2\) single crystals. A strongly anisotropic gap is found at optimal doping for x=0.065 with \(\Delta_{max}\sim 5\Delta_{min}\). Upon entering the coexistence region between superconducting (SC) and spin-density-wave (SDW) orders, the effective pairing energy scale is strongly reduced. Our results are interpreted in terms of a competition between SC and SDW orders for electronic state at the Fermi level. Our findings advocate for a strong connection between the SC and SDW gaps anisotropies which are both linked to interband interactions.