(tan10°-根号3)sin40°

=sin50°（1+根号3sin10°/cos10°）=sin50°*2*（cos10°/2+根号3sin10°/2）/cos10°通分后括号内提出2=2sin50°sin（10°+30°）/cos1

cos40度(1+根号3tan10度)=2(cos40/cos10)((1/2)cos10+((根号3)/2)sin10)=2(cos40/cos10)sin(10+30)=sin80/cos10=1

=cos10(tan10-√3)/sin(60-10)=sin10-√3cos10/(√3cos10-sin10/2)=-2

sin50（1+√3tan10）=sin50[1+√3(sin10/cos10)]=sin50[(cos10+√3sin10)/cos10]=sin50[2sin(30+10)/cos10]=(2si

①sin40°(tan10°-根号3)=sin40*sin10/cos10-根号3*sin40=sin40*cos80/cos10-根号3*sin40=sin40*cos80/2sin40*cos40

原式=sin40*(tan10-tan60)=sin40(sin10/cos10-sin60/cos60)=sin40(sin10cos60-cos10sin60)/(cos10cos60)=sin4

原式=[2sin50°+2sin10°*sin(10°+30°)/cos10°]*√2sin80°=[2cos40°+2sin10°sin40°/cos10°]*√2cos10°=2√2(cos40°

sin40°（tan10°-根号3）=sin40°(sin10°/cos10°-根号3)=sin40°（sin10°-根号3cos10°)/cos10°=2sin40°sin(10°-60°)/cos

答案是-1

原式=[2sin50°+sin10°(1＋√3·tan10°)]√2cos10°=2√2sin50°cos10°+√2sin10°cos10°+√6sin^210°=2√2sin50°cos10°+√

解(1+√3tan10)cos40=(cos10/cos10+√3sin10/cos10)cos40=[(cos10+√3sin10)/cos10]cos40=[2sin(10+30)/cos10]c

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°sin1

[2sin50+sin10(1+根号3*tan10)]根号（sin^2(80))=[2sin50+sin10(1+根号3*sin10/cos10)]sin80=[2sin50+sin10(1+根号3*

原式=cos40°*（（根号3sin10°+cos10°)/cos10°)=cos40°(2cos(60°-10°)/cos10°)=2cos40°cos50°/cos10°=2sin50°cos50

(tan10°-根号3)cos10°÷sin50°=(sin10°-根号3cos10°)÷sin50°=2(1/2sin10°-1/2根号3cos10°)÷sin50°=-2(sin60°cos10°

cos40°*[1+(根号3)tan10°]切割化弦=cos40°*[1+根号3sin10°/cos10°]=2cos40°*[1/2+根号3/2sin10°/cos10°]=2cos40°/cos1

1+根号3tan10°=(cos10°+根号3sin10°)/cos10°=2(1/2×cos10°+1/2×根号3sin10°)/cos10°=2(cos60°cos10°+sin60°sin10°

=tan60(1-tan10tan50)+根号3tan10°tan50°=根号3

原式={sin50°+cos40°(cos10°/cos10°+√3*sin10°/cos10°）}/sin平方70°={sin50°+cos40°*(cos10°+√3*sin10°)/cos10°

[2sin50+sin10(1+根号3*tan10)]根号（sin^2(80))=[2sin50+sin10(1+根号3*sin10/cos10)]sin80=[2sin50+sin10(1+根号3*