y=2sin(2x+π/3)(-π/6≤x≤π/6)求值域

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/22 12:07:36
y=2sin(2x+π/3)(-π/6≤x≤π/6)求值域y=2sin(2x+π/3)(-π/6≤x≤π/6)求值域y=2sin(2x+π/3)(-π/6≤x≤π/6)求值域因为-π/6≤x≤π/6所

y=2sin(2x+π/3)(-π/6≤x≤π/6)求值域
y=2sin(2x+π/3)(-π/6≤x≤π/6)求值域

y=2sin(2x+π/3)(-π/6≤x≤π/6)求值域
因为 -π/6≤x≤π/6 所以0 ≤2x+π/3≤2π/3
所以 0≤2sin(2x+π/3)≤2

-π/6≤x≤π/6
-π/3≤2x≤π/3
0≤2x+π/3≤2π/3
0≤sin(2x+π/3)≤1
0≤2sin(2x+π/3)≤2

值域为[0,2]