"complement the knowledge" is a correct and usable phrase in written English.
You can use it when you want to emphasize the need to add to someone's existing knowledge on a certain subject. For example: "Taking this course will complement the knowledge you already have on the subject and help you become an expert."
So astronomers can complement the knowledge gained by scientists on earth about the fundamental laws.
The MAM program gathers the most promising management students from around the world to exchange ideas and points of view that complement the knowledge and skills they learned in their home countries as MBA students.
Developments in the understanding of enclosure fire dynamics for large spaces is intended to complement the knowledge of relatively smaller, low ventilation spaces developed from the extensive body of research that underpins the original compartment fire framework.
The revealed sequence determinants of bacterial gene expression level under heat stress complement the knowledge about the regulation factors of prokaryotic gene expression responding to the change of environmental conditions.
Just as big technology companies are increasingly employing senior social scientists, so government needs to complement the knowledge and experience of someone like Sir Mark Walport with a heavyweight social scientist, who can assist him in tapping into a deeper understanding of human systems.
The curriculum is intended to complement the knowledge they will need during surgical rotations.
The present study using 16S rRNA sequencing techniques complemented the knowledge of the composition of supra- and submucosal, and supra- and subgingal biofilms.
The current study complements the knowledge on risk stratification in these patients and represents a valuable addition for a comprehensive decision-making prior to ECMO implantation.
The leaves account for a non-negligible weight of the total agave plant biomass, so this work complements the knowledge already developed on agave fermentations by making it possible to produce ethanol from almost the entire plant (stem and leaves).
The closure of the last gap in the histidine biosynthesis pathway by identification of the hisN gene encoding a histidinol-phosphate phosphatase not only complements the knowledge of the pathway in C. glutamicum but in the entire class of Actinobacteria as well as in several Proteobacteria and Chlorobia [ 76].
