Question

求函数y=1/(1+2sinx)的定义域

Answer 1

1+2sinx≠0
sinx≠-1/2
那么x≠2kπ-π/6,且x≠2kπ-5π/6
即定义域为{x∈R|x≠2kπ-π/6,且x≠2kπ-5π/6,k∈Z}