函数y=tan(x+派/3)的定义域

问题描述:

函数y=tan(x+派/3)的定义域

{x|x+π/3≠kπ+π/2|(k∈Z)}
定义域为A={x|x≠kπ+π/6(k∈Z)}

x+π/3≠kπ+π/2
解得
x≠kπ+π/6

y=tan(x+π/3)
令x+π/3≠kπ+π/2,k∈Z
得x≠kπ+π/6,k∈Z
所以函数y=tan(x+π/3)的定义域是{x|x≠kπ+π/6,k∈Z}

y=tan(x+派/3)
kπ-π/2kπ-5π/6