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°)
=2sin50°(cos60°cos10°+sin60°sin10°)/cos10°
=2sin50°cos50°/cos10°
=sin100°/cos10°
=sin80°/cos10°
=cos10°/cos10°
=1.

sin50°(1+√3tan10°)
=2sin50°(sin30°cos10°+cos30°sin10°)/cos10°
=2sin50°sin40°/cos10°
=sin100°/cos10°
=1

1.171267354