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[2sin50°+sin10°(1+√3tan10°)]*√2(sin80°)*(sin80度)

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:2024/05/05 02:32:11
[2sin50°+sin10°(1+√3tan10°)]*√2(sin80°)*(sin80度)
[2sin50°+sin10°(1+√3tan10°)]*√2(sin80°)*(sin80度)
[2sin50°+sin10°(1+√3tan10°)]*√2(sin80°)*(sin80度)
=[2sin50°*sin80°+sin10°*cos10°(cos10°+√3sin10°)/cos10°]*√2(sin80°)
=[2sin50°*sin80°+2sin10°(1/2cos10°+√3/2sin10°)]*√2(sin80°)
=[2sin50°*sin80°+2sin10°sin(30°+10°)]*√2(sin80°)
=[2sin50°*sin80°+2sin10°sin40°]*√2(sin80°)
=[2sin50°*cos10°+2sin10°cos50°]*√2(sin80°)
=2[sin60°]*√2(sin80°)
=√6sin80°