Suppose a defendant testifies at a criminal trial and is advised beforehand that the prosecution has a right to cross examine him. Suppose the defendant answers all of his lawyer's questions on direct examination.
Would that defendant be able to refuse to answer some (or any) of the questions the prosecution asks on cross examination? I would expect the prosecution to ask questions that would tend to incriminate the defendant, and I'm wondering if, by voluntarily testifying on direct, the court would see his right to remain silent as being waived permanently, or if the court would be fine with the defendant re-asserting his 5th amendment rights during cross.