(sin20°+cos30°sin10°)/(cos20°-sin30°sin10°)

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(sin20°+cos30°sin10°)/(cos20°-sin30°sin10°)
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(sin20°+cos30°sin10°)/(cos20°-sin30°sin10°)
(sin20°+cos30°sin10°)/(cos20°-sin30°sin10°)

(sin20°+cos30°sin10°)/(cos20°-sin30°sin10°)
原式=[sin(30°-10°)+cos30°sin10°]/[cos(30°-10°)-sin30°sin10°]
=(sin30°cos10°)/(cos30°cos10°)
=sin30°/cos30°
=(√3)/3