题目内容
(本小题8分)
(1)化简:![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232248391131451.png)
(2)已知
,求
(1)化简:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232248391131451.png)
(2)已知
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839144535.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839160905.png)
(1)原式=
=
;
(2)原式=
=
。
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232248391751026.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839207388.png)
(2)原式=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839222882.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839238356.png)
本试题主要是考查了诱导公式的欧诺个和同角关系式的运用。
(1)根据
结合诱导公式得到原式等于
,进而求解。
(2)由
,得
,即![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839347638.png)
原式=
=
得到结论。
解:(1)原式=
=
(4分)
(2)由
,得
,即![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839347638.png)
原式=
=
(4分)
(1)根据
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232248391131451.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232248391751026.png)
(2)由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839144535.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839316776.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839347638.png)
原式=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839222882.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839238356.png)
解:(1)原式=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232248391751026.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839207388.png)
(2)由
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839144535.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839316776.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839347638.png)
原式=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839222882.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823224839238356.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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