化简..:
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:2024/07/22 03:35:38
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![](http://img.wesiedu.com/upload/4/33/433b9812eef063c7eddeb7edf8108a7c.jpg)
![](http://img.wesiedu.com/upload/4/33/433b9812eef063c7eddeb7edf8108a7c.jpg)
![化简..:](/uploads/image/z/19890582-6-2.jpg?t=%E5%8C%96%E7%AE%80..%3A)
解题思路: 化简
解题过程:
sin50(1+√3tan10) =sin50[1+(√3sin10/cos10)] =sin50[cos10+√3sin10)/cos10] =2sin50[(1/2)cos10+(√3/2)sin10)/cos10] =2sin50[cos60cos10+sin60sin10)/cos10] =2sin50cos(60-10)/cos10 =2sin50cos50/cos10 =sin100/cos10 =cos10/cos10 =1
最终答案:略
解题过程:
sin50(1+√3tan10) =sin50[1+(√3sin10/cos10)] =sin50[cos10+√3sin10)/cos10] =2sin50[(1/2)cos10+(√3/2)sin10)/cos10] =2sin50[cos60cos10+sin60sin10)/cos10] =2sin50cos(60-10)/cos10 =2sin50cos50/cos10 =sin100/cos10 =cos10/cos10 =1
最终答案:略