We present reflectance measurements in the infrared region on a single crystal the rare-earth scandate DyScO(3). Measurements performed between room temperature and 10 K allow us to determine the frequency of the infrared-active phonons, never investigated experimentally, and to get information on their temperature dependence. A comparison with the phonon peak frequency resulting from ab initio computations is also provided. We finally report detailed data on the frequency dependence of the complex refractive index of DyScO(3) in the terahertz region, which is important in the analysis of terahertz measurements on thin films deposited on DyScO(3).