函数y=根号下2sin(x+π/4)+1的定义域为
问题描述:
函数y=根号下2sin(x+π/4)+1的定义域为
答
2sin(x+π/4)+1≥0
sin(x+π/4)≥-1/2
2kπ-π/6≤x+π/4≤2kπ+7π/6
2kπ-5π/12≤x≤2kπ+11π/12
[2kπ-5π/12,2kπ+11π/12],k∈Z