题目内容
设f0(x)=sin x,f1(x)=f′0(x),f2(x)=f′1(x),…,fn+1(x)=f′n(x)(n∈N),则f2009(x)=( )
A.sin x | B.-sin x |
C.cos x | D.-cos x |
C
由题得,
,所以,
,故
.选C.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231821258571796.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823182125889712.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231821259981359.png)
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题目内容
A.sin x | B.-sin x |
C.cos x | D.-cos x |