题目内容
已知![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232129472502219.png)
(1) 化简
;
(2) 若
是第三象限角,且
,求
的值;
(3) 若
,求
的值。
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232129472502219.png)
(1) 化简
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947250482.png)
(2) 若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947266285.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947313896.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947250482.png)
(3) 若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947360644.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947250482.png)
(1)-
;(2)
;(3)
.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947406424.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947438998.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947469819.png)
本试题主要考查了三角函数的恒等变换的运用。
解:![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947531335.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232129475472160.png)
. (4分)
因为
,又
,即
.
而
,
所以
. (8分)
(3)
时,
(12分)
解:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947531335.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232129475472160.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232129475781139.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947594392.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947609898.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232129477031137.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947781578.png)
而
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232129477961531.png)
所以
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947438998.png)
(3)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947828639.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212947469819.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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