已知函数f(x)=(1-根号2sin(2x-45度))除以cosx,求f(x)定义域
问题描述:
已知函数f(x)=(1-根号2sin(2x-45度))除以cosx,求f(x)定义域
答
kπ+π/8≤x<π/2或π/2<x≤5π/8+kπ
2sin(2x-45度)≥0 kπ+π/8≤x≤5π/8+kπ
cosx≠0 x≠π/2
取交集后得 kπ+π/8≤x<π/2或π/2<x≤5π/8+kπ