WordWeb Online

1. Worthy of trust or belief
   "a trustable report";
   - trustworthy, trusty, straight-up [informal]
    
2. Taking responsibility for one's conduct and obligations
   "trustable public servants";
   - trustworthy, straight-up [informal]

See also: authentic, creditworthy, dependable, faithful, fiducial, honest, honorable [US], honourable [Brit, Cdn], reliable, responsible, sure, true, trusted