搜搜做题作业网问一道数学求周期的题!
来源：学生作业帮 编辑：搜搜做题作业网作业帮 分类：数学作业 时间：2024/05/26 14:32:36
问一道数学求周期的题!
y=(1-tan3x)/(1+tan3x) 求此函数的周期?
y=(1-tan3x)/(1+tan3x) 求此函数的周期?
``````````1`-`tan`3x`````````tan`45°-`tan 3x``````````````````
````y=--------------- = -------------------------```````````````
``````````1`+`tan`3x```````1`+`tan`45°×tan 3x````````````
````````````````````````````````````````````
`````=tan(45°-3x) (差角公式)`````````````````````
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````∴ω`=`3``````````````````````````````````````
````````````````````````````````````````````
````````````π```π```````````````````````````````
````∴T`=`-`=`-`````````````````````````````````
````````````ω```3```````````````````````````````
````y=--------------- = -------------------------```````````````
``````````1`+`tan`3x```````1`+`tan`45°×tan 3x````````````
````````````````````````````````````````````
`````=tan(45°-3x) (差角公式)`````````````````````
````````````````````````````````````````````
````∴ω`=`3``````````````````````````````````````
````````````````````````````````````````````
````````````π```π```````````````````````````````
````∴T`=`-`=`-`````````````````````````````````
````````````ω```3```````````````````````````````