求值域 y=(1+sinx)/(2+sinx)

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/20 01:38:53
求值域 y=(1+sinx)/(2+sinx)
x){iÞ+TjjgUhkA6IETcJ%U0TVØ09!yC8£%m !X"71HC!j.4PbD5S A

求值域 y=(1+sinx)/(2+sinx)
求值域 y=(1+sinx)/(2+sinx)

求值域 y=(1+sinx)/(2+sinx)
y
= (1 + sinx)/(2 + sinx)
= (2 + sinx - 1)/(2 + sinx)
= 1 - 1/(2 + sinx)
-1 ≤ sinx ≤ 1
1 ≤ 2 + sinx ≤ 3
1/3 ≤ 1/(2 + sinx) ≤ 1
-1 ≤ -1/(2 + sinx) ≤ -1/3
0 ≤ 1 - 1/(2 + sinx) ≤ 2/3
所以值域是 [0 , 2/3]

0貌似