To describe science as "multifaceted" implies that its study involves many different fields of research and an ample diversity of disciplines that come together to produce valuable data and much-needed results.
Science is multidisciplinary, among many other diverse descriptors. An example of this quality is the scientific study of human psychiatry. This field alone requires the intervention of a number of other branches of inquiry to include neurology, psychology (which is a social science), physiology, and even sociology, to be able to address all that encompasses human behavior. This includes its normal functioning, its effect in the human body, and its conflicts with social expectations.
Other fields that share the characteristic of being multifaceted include pedagogy (teaching), sociology (the study of communities and human activity withina community), and mathematics. In all three of these fields there is a requirement for schema in many other areas of study that will make facts and concepts connected. In order to be good mathematicians one must have good inductive, deductive, chronological, and computational skills. In the field of pedagogy, all the fields must come together and be connected to be taught in a relevant way.
Therefore,describing something as "multifaceted" is the same as saying that it is multidimensional, varied, inclusive, and multidisciplinary, among other things.