设集合A={α|-π/2+2kπ

题目

设集合A={α|-π/2+2kπ<α《π/3+2kπ,k∈Z},集合B={β|π/4+kπ<β《π/2+kπ,k∈Z},求：（1）A∪B;(2)A∩B

答案

A∪B={α|-3π/4+2kπ<α《π/2+2kπ,k∈Z}
A∩B={β|π/4+2kπ<β《π/3+2kπ,k∈Z}