sin50°(1+3tan10°)的值为( )A. 3B. 2C. 2D. 1

解答:解:sin50°(1+3tan10°)=sin50°(cos10°+3sin10°)cos10°=sin50° 2(sin10°cos30°+cos10°sin30°)cos10°=...


求值:sin50°(1+3tan10°)= - - - .

原式=sin50° cos10°+3sin10°cos10°=cos40°2sin40°cos10°=sin80°cos10°=sin10°cos10°=1故答案为:1


求值: sin50°(1+ 3 tan10°) =

cos10°+ 3 sin10° cos10° =cos40° 2sin40° cos10° = sin80° cos10° = sin10...


三角函数化简 化简sin 50(1+√3tan10)

三角函数化简 化简sin 50(1+√3tan10) sin50°*(1+根号3×tan10°) =sin50°*(1+根号3*sin10°/cos10°) =sin...


利用三角函数公式化简 sin50度(1+根号3 tan10度)

sin50(1+√3 tan10)=sin50(tan60-tan10)/tan(60-10)=sin50/tan50*(sin60/cos60-sin10/cos10)=cos50*(sin60cos10-sin...


sin50°(1+根号3tan10°)等于多少

=sin100°/cos10° =cos10°/cos10° =1 解法二:sin50(1+√3*tan10)= sin50(1 + √3 sin10/cos10)= (sin50/cos...


三角函数问题,sin50度(1+√3tan10度)的=??sin(x/2+π/6...

=2sin40°cos40°/cos10° =sin(2*40°)/cos10° =sin80°/cos10° =1 第二题 设t=x/2-π/6,则x/2+π/6=t+...


三角函数问题 sin50(1+√3tan10)的值

sin50(1+√3tan10)=(2sin40sin50)/cos10 =[cos(50-40)-cos(50+40)]/cos10 =cos10/cos10 =1 或者说:sin50°(1+...


sin50(1+根号3tan10)求解,多种方法

1+(√3)tan10 =1+(√3)[sin10/cos10] (∵tan10=sin10/cos10 )=[2/cos10]×[(1/2)cos10+(√3/2)sin10]=[...


化简Sin50度(1+根号3tan10度)

题中1+√3tan10=(cos10+√3sin10)/cos10=2(1/2cos10+√3/2sin10)/cos10= 2(cos60cos10+sin60sin10)/cos10=2cos...


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