就是比如sin(2x-π/3),首先-π/2+2kπ≤x≤π/2+2kπ,然后是变成-π+2kπ≤x2≤π+2kπ
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/10/06 09:48:21
就是比如sin(2x-π/3),首先-π/2+2kπ≤x≤π/2+2kπ,然后是变成-π+2kπ≤x2≤π+2kπ
还是-π+4kπ≤x2≤π+4kπ,就是不等式两边同乘2后2kπ是变成4kπ还是保持原来的2kπ
.同样sin(x/2-π/3)两边同除2后2kπ是变成kπ还是保持原来的2kπ
还是-π+4kπ≤x2≤π+4kπ,就是不等式两边同乘2后2kπ是变成4kπ还是保持原来的2kπ
.同样sin(x/2-π/3)两边同除2后2kπ是变成kπ还是保持原来的2kπ
sin(2x-π/3)的单调区间是-π/2+2kπ≤2x-π/3≤π/2+2kπ
然后变成-π/2+2kπ+π/3≤2x≤π/2+2kπ +π/3
-π/4+kπ+π/6≤x≤π/4+kπ +π/6即-π/12+kπ≤x≤5π/12+kπ
sin(x/2-π/3)的单调区间是-π/2+2kπ≤x/2-π/3≤π/2+2kπ
-π/2+2kπ+π/3≤x/2≤π/2+2kπ +π/3
-π+4kπ+2π/3≤x≤π+4kπ +2π/3
其中的4kπ不可以改变
然后变成-π/2+2kπ+π/3≤2x≤π/2+2kπ +π/3
-π/4+kπ+π/6≤x≤π/4+kπ +π/6即-π/12+kπ≤x≤5π/12+kπ
sin(x/2-π/3)的单调区间是-π/2+2kπ≤x/2-π/3≤π/2+2kπ
-π/2+2kπ+π/3≤x/2≤π/2+2kπ +π/3
-π+4kπ+2π/3≤x≤π+4kπ +2π/3
其中的4kπ不可以改变
就是比如sin(2x-π/3),首先-π/2+2kπ≤x≤π/2+2kπ,然后是变成-π+2kπ≤x2≤π+2kπ
当k为任意整数时,化简 cos(2kπ-x)(-sin(2kπ-x))
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