函数y=根号下2cosx+1的定义域是?只要结果

问题描述:

函数y=根号下2cosx+1的定义域是?
只要结果


2cosx+1≥0.
cosx≥-1/2.
2kπ-(2π/3)≤x≤2kπ+(2π/3)
∴该函数的定义域为
[2kπ-(2π/3), 2kπ+(2π/3)] k∈Z

y=根号下2cosx+1
2cosx+1≥0
cosx≥-1/2
2kπ-2π/3≤x≤2kπ+2π/3;k∈Z

2cosx+1≥0
cosx≥-(1/2)
则:2kπ-2π/3≤x≤2kπ+2π/3
则定义域是:[2kπ-2π/3,2kπ+2π/3],其中k∈Z