y=1/sin(x)+1/cos(x)求x区间如题望有全部解答过程感激啊

Question

y=1/sin(x) +1/cos(x) 求x区间
如题
望有全部解答过程
感激啊

Answer 1

只要令sinx、cosx不等于0即可
sinx=0,则x=kπ,k∈Z
cosx=0,则x=kπ+π/2,k∈Z
则本题中x区间只有去掉上面这些点即可,即
x∈（2kπ,2kπ+π/2）∪（2kπ+π/2,2kπ+π）∪（2kπ+π,2kπ+3π/2）∪（2kπ+3π/2,2kπ+2π）,其中k∈Z