sin50°(1+根号3tan10°) 要过程~
1.sin40°(tan10°-根号3)2.sin10°分之1-cos10°分之根号33.tan70°cos10°(根号3tan20°-1)4.sin50°(1+根号3t...
1.sin40°(tan10°-根号3)
2. sin10°分之1-cos10°分之根号3
3. tan70°cos10°(根号3tan20°-1)
4. sin50°(1+根号3tan10°) 展开
2. sin10°分之1-cos10°分之根号3
3. tan70°cos10°(根号3tan20°-1)
4. sin50°(1+根号3tan10°) 展开
3个回答
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sin50(1+√3tan10)
=sin50[1+(√3sin10/cos10)]
=sin50[cos10+√3sin10)/cos10]
=2sin50[(1/2)cos10+(√乱宴3/2)sin10)/哗悔银cos10]
=2sin50[cos60cos10+sin60sin10)/前卜cos10]
=2sin50cos(60-10)/cos10
=2sin50cos50/cos10
=sin100/cos10
=cos10/cos10
=1
=sin50[1+(√3sin10/cos10)]
=sin50[cos10+√3sin10)/cos10]
=2sin50[(1/2)cos10+(√乱宴3/2)sin10)/哗悔银cos10]
=2sin50[cos60cos10+sin60sin10)/前卜cos10]
=2sin50cos(60-10)/cos10
=2sin50cos50/cos10
=sin100/cos10
=cos10/cos10
=1
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展开全部
sin50°(1+√3tan10°)
=sin50°[1+√3(sin10°/cos10°)]
=sin50[(cos10+√睁芦3sin10)/cos10]
=sin50°[2sin(30+10)/cos10°]
=(2sin50°sin40°)/简早碧拦举cos10°
=(2cos40°*sin40°)/cos10°
=cos10°/cos10°
=1
=sin50°[1+√3(sin10°/cos10°)]
=sin50[(cos10+√睁芦3sin10)/cos10]
=sin50°[2sin(30+10)/cos10°]
=(2sin50°sin40°)/简早碧拦举cos10°
=(2cos40°*sin40°)/cos10°
=cos10°/cos10°
=1
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