Manhattan prosecutors delivered a raw recounting of Donald J. Trump’s seamy past on Monday as they debuted their case against him to jurors‚ the nation and the world‚ reducing the former president to a co-conspirator in a plot to cover up three sex scandals that threatened his 2016 election win. Their opening statement was a pivotal moment in the first prosecution of an American president‚ a sweeping synopsis of the case against Mr. Trump‚ who watched from the defense table‚ occasionally...