tan60°=(tan10°+tan50°)/(1-tan10°tan50°)=√3,
∴√3tan10°tan50°=√3-(tan10°+tan50°)
=√3-sin60°/[cos10°cos50°)
=√3-(√3)/(cos60°+cos40°)?
tan60°=(tan10°+tan50°)/(1-tan10°tan50°)=√3,
∴√3tan10°tan50°=√3-(tan10°+tan50°)
=√3-sin60°/[cos10°cos50°)
=√3-(√3)/(cos60°+cos40°)?