This is a multicenter, collaborative, randomized, open-label study designed to explore the effects of administration of omega-3-acid ethyl esters (TAK-085) [2 g (2 g PO QD) or 4 g (2 g PO BID) for 8 weeks] on vascular endothelial function, as measured by flow-mediated dilation (FMD), in patients receiving a hydroxymethylglutaryl-coenzyme A (HMG-CoA) reductase inhibitor and have concurrent hypertriglyceridemia (hereinafter referred to as TG).