When detained/arrested, a person may invoke his/her right to remain silent, after which, ALL interrogation must cease. Under those circumstances, right to not incriminate yourself is the exact same thing as right to remain silent

When a trial commences, a defendant (or representative) MUST put in a plea of "Guilty" or "Not Guilty", which is effectively the same thing as answering whether or not you did the crime. At least one example where an innocent man would likely need the 5th amendment can be seen discussed 353 U.S. 391, page 421 - 424