Greinke split the 2012 season between the Milwaukee Brewers and the Los Angeles Angels going a combined 15-5 with a 3.48 ERA with 200 strikeouts. His best season came in 2009 when he won the AL Cy Young Award while with the Kansas City Royals.
The 29-year old righthander joins a rotation which includes 2011 NL Cy Young winner Clay Kershaw, Josh Beckett, Chris Capuano and Chad Billingsley.
Given his history of anxiety, Greinke wouldn't normally be a good match with such a high profile team but with the likes of Beckett, Adrian Gonzalez and Matt Kemp, Greinke won't be the center of attention. He is entering the prime of his career and should have several productive seasons in Dodger Blue.