2sin50°(1+根号3tan10°)=?

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2sin50°(1+根号3tan10°)=?2sin50°(1+根号3tan10°)=?2sin50°(1+根号3tan10°)=?2sin50°(1+√3tan10°)=2sin50(tan60-t

2sin50°(1+根号3tan10°)=?
2sin50°(1+根号3tan10°)=?

2sin50°(1+根号3tan10°)=?
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