Law enforcement officers are trained to make suspects feel comfortable so that they will incriminate themselves. You have the absolute right NOT to talk to the police.
In many cases, people who have tried to talk their way out of a potential arrest incriminate themselves severely. If the police ask you to answer questions about your possible role in a criminal act, you should say “I wish to exercise my right to remain silent. I wish to speak to an attorney.” In all cases, you should treat the police with respect and courtesy, even if you feel that officers are not extending the same courtesies to you. Nevertheless, you should insist on speaking to an attorney before answering questions from law enforcement officials..