2sin50°(1+根号3tan10°)=?
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:2024/08/06 18:51:18
2sin50°(1+根号3tan10°)=?
![2sin50°(1+根号3tan10°)=?](/uploads/image/z/8121527-71-7.jpg?t=2sin50%C2%B0%281%2B%E6%A0%B9%E5%8F%B73tan10%C2%B0%29%3D%3F)
2sin50°(1+√3tan10°)
=2sin50(tan60-tan10)/tan(60-10)
=2cos50(sin60/cos60-sin10/cos10)
=2cos50(sin60cos10-cos60sin10)/(cos60*cos10)
=2cos50sin(60-10)/(cos60*cos10)
=sin100/(cos60*cos10)
=sin80/(cos60*sin80)
=2
=2sin50(tan60-tan10)/tan(60-10)
=2cos50(sin60/cos60-sin10/cos10)
=2cos50(sin60cos10-cos60sin10)/(cos60*cos10)
=2cos50sin(60-10)/(cos60*cos10)
=sin100/(cos60*cos10)
=sin80/(cos60*sin80)
=2
2sin50°(1+根号3tan10°)=?
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