A complex medium contains ingredients of unknown exact chemical composition, such as peptones, yeast extract, or casein digests.
Trypticase soy agar (TSA) contains enzymatic digests of casein and soybean meal, making it chemically undefined and thus a classic example of a complex medium.
Luria-Bertani broth is also complex, not synthetic, because it contains yeast extract and tryptone.
Nutrient broth is complex, not defined, for the same reason.
Sabouraud dextrose agar is a selective medium (mainly for fungi), not differential.
Thus, the only correct statement is that Trypticase soy agar is a complex medium.