(tan10°–√3)cos10°/sin50°

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(tan10°–√3)cos10°/sin50°
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(tan10°–√3)cos10°/sin50°
(tan10°–√3)cos10°/sin50°

(tan10°–√3)cos10°/sin50°
tan10°-√3=tan10°-tan60°利用公式tanα-tanβ=sin(α-β)/(cosα·cosβ)得tan10°-tan60°=-sin50°/(cos10°cos60°)(tan10°-√3)×cos10° /sin50°=(tan10°-tan60°)cos10°/sin50°=[-sin50°/(cos10°cos60°)]cos10°/sin50°=-1/cos60°=-2