由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932293415.png)
π<x<
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932308354.png)
π,得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932402356.png)
π<x+
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932417396.png)
<2π.
又cos
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932183731.png)
=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932215369.png)
,sin
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932183731.png)
=-
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932480346.png)
.
cosx=cos
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932495911.png)
=cos
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932183731.png)
cos
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932417396.png)
+sin
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932183731.png)
sin
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932417396.png)
=-
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932573468.png)
,
從而sinx=-
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824040932589524.png)
,tanx=7.
故原式=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240409326053527.png)
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