Rafael van der Vaart had given the visitors the lead a minute before the break as he capitalised on a defensive error from Joe Allen to sweep home with the help of a deflection from Ashley Williams.
Swansea had not managed to pick up a single point this season after conceding the first goal, but they bucked the trend as a period of heavy pressure was rewarded when Brad Friedel hesitated when dealing with a deflected Angel Rangel cross for Sinclair to nip in and claim his fifth goal of the campaign.
Source: PA
Source: PA