Bill Cosby is fighting to keep critical evidence out of his upcoming trial. At a hearing today, the court is expected to hear arguments based on two motions to suppress evidence filed by Cosby’s attorneys. The first is a motion to suppress the contents of his deposition testimony from the civil case brought by accuser Andrea Constand. Former Temple University employee Andrea Constand says Cosby drugged and sexually assaulted her at his Montgomery County, Pennsylvania home sometime between mid-January and mid-February 2004 but she didn’t report it until January 2005. Then-District Attorney Bruce Castor investigated but didn’t file criminal charges saying that he didn’t find sufficient credible evidence to go forward. Just weeks after Castor made the decision not to prosecute, accuser Andrea Constand filed a civil suit against Cosby based on the same conduct. That suit eventually settled but…