sin平方80°/4(cos40°-cos立方40°) ×(1+根号3tan10°) =4sin平方40°cos平方40°/4[cos40°(1-cos平方40°)] ×(sin30°+cos30° sin10°/cos10°)/2
=2cos40°×((sin30°cos10°+cos30°sin10°)/cos10°)
=2cos40°×sin40°/cos10°
=sin80°/cos10°
=1
sin平方80°/4(cos40°-cos立方40°) ×(1+根号3tan10°) =4sin平方40°cos平方40°/4[cos40°(1-cos平方40°)] ×(sin30°+cos30° sin10°/cos10°)/2
=2cos40°×((sin30°cos10°+cos30°sin10°)/cos10°)
=2cos40°×sin40°/cos10°
=sin80°/cos10°
=1