cos50°(tan60°-tan10°)=?

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cos50°(tan60°-tan10°)=?cos50°(tan60°-tan10°)=?cos50°(tan60°-tan10°)=?cos50°(tan60°-tan10°)=cos50°[(s

cos50°(tan60°-tan10°)=?
cos50°(tan60°-tan10°)=?

cos50°(tan60°-tan10°)=?
cos50°(tan60°-tan10°)
=cos50°[(sin60°cos10°-sin10°cos60°)/cos60°cos10°]
=cos50°(sin50°/cos60°cos10°)
=sin100°/(2cos60°cos10°)
=sin(90°+10°)/cos10°
=cos10°/cos10°
=1