tanx大于等于-1 sinx>-1/2且cosx>1/2求x的集合.

问题描述:

tanx大于等于-1 sinx>-1/2且cosx>1/2求x的集合.

tanx>=-1,得:x为[kπ-π/4,kπ+π/2)
sinx>-1/2,得:x为(2kπ-π/6,2kπ+7π/6)
cosx>1/2,得:x为(2kπ-π/3,2kπ+π/3)
以上集合的交集即为解x的集合:
(2kπ-π/6,2kπ+π/3),k为任意整数