求满足sin(x+π/4)大于等于√2/2的x的取值范围

题目

求满足sin(x+π/4)大于等于√2/2的x的取值范围

答案

　　2kπ+π/4<=x+π/4<=2kπ+3 π/4
　　2kπ<=x<=2kπ+ π/2
　　x的取值范围是[2kπ,2kπ+ π/2](k∈z)