如图,一道化简题求详解
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:2024/07/04 20:48:29
如图,一道化简题
![](http://img.wesiedu.com/upload/1/f0/1f04435e869a22d0ae89aee7d7399897.jpg)
求详解
![](http://img.wesiedu.com/upload/1/f0/1f04435e869a22d0ae89aee7d7399897.jpg)
求详解
![如图,一道化简题求详解](/uploads/image/z/5694676-52-6.jpg?t=%E5%A6%82%E5%9B%BE%2C%E4%B8%80%E9%81%93%E5%8C%96%E7%AE%80%E9%A2%98%E6%B1%82%E8%AF%A6%E8%A7%A3)
原式=[sin(15-8)+cos15sin8]/[cos(15-8)-sin15sin8]
=(sin15cos8-cos15sin8+cos15sin8)/(cos15cos8+sin15sin8-sin15sin8)
=(sin15cos8)/(cos15cos8)
=sin15/cos15
=(sin15cos15)/(cos15cos15)
=sin30/(1+cos30)
=1/(2+√3)
=2-√3
=(sin15cos8-cos15sin8+cos15sin8)/(cos15cos8+sin15sin8-sin15sin8)
=(sin15cos8)/(cos15cos8)
=sin15/cos15
=(sin15cos15)/(cos15cos15)
=sin30/(1+cos30)
=1/(2+√3)
=2-√3