√2⼀4sin(π⼀4-x)+√6⼀4cos(π⼀4-x)的单增区间是什么?

√2/4sin(π/4-x)+√6/4cos(π/4-x)的单增区间是什么?
2024-12-23 06:01:41
推荐回答(1个)
回答1:

√2/4sin(π/4-x)+√6/4cos(π/4-x)

=√2/2*[sin(π/4-x)*1/2+cos*√3/2]
=√2/2*sin(π/4-x+π/3)
=-√2/2*sin(x-7π/12)递增
则sin(x-7π/12)递减
2kπ-3π/22kπ-11π/12
(2kπ-11π/12,2kπ+π/12)