化简sin50(1+√3tan10)

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化简sin50(1+√3tan10)化简sin50(1+√3tan10)化简sin50(1+√3tan10)sin50°(1+√3tan10°)=sin50°(1+√3sin10°/cos10°)=s

化简sin50(1+√3tan10)
化简sin50(1+√3tan10)

化简sin50(1+√3tan10)
sin50°(1+√3tan10°)
=sin50°(1+√3sin10°/cos10°)
=sin50°(cos10°+√3sin10°)/cos10°
=2sin50°sin(30°+10°)/cos10°
=2sin50°sin40°/cos10°
=sin80°/cos10°
=cos10°/cos10°
=1

sin50°(1+√3sin10°/cos10°)=sin50°(cos10°+√3sin10°)/cos10°=2sin50°sin(30°+10°)/cos10°=2sin50°sin40°/cos10°=2cos40°sin40°/cos10°=sin80°/cos10°cos10°/cos10°
=1