作业帮化简：2sin50°+sin100°(1+根号3*tan370°)/根号1+cos10°尽量详细点.看着头疼.
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/08 19:36:44
化简：2sin50°+sin100°(1+根号3*tan370°)/根号1+cos10°尽量详细点.看着头疼.
化简：2sin50°+sin100°(1+根号3*tan370°)/根号1+cos10°
尽量详细点.
看着头疼.
化简：2sin50°+sin100°(1+根号3*tan370°)/根号1+cos10°尽量详细点.看着头疼.
{2sin50°+ sin100°[1 + (√3)tan370°]}/√(1 + cos10°)
= {2sin50°+ cos10°[1 + (√3)tan10°]}/√(1 + cos10°)
= {2sin50°+ [cos10°+ (√3)sin10°]}/√(1 + cos10°)
= {2sin50°+ 2[½cos10°+ ½(√3)sin10°]}/√(1 + cos10°)
= {2sin50°+ 2[sin30°cos10°+ cos30°sin10°]}/√(1 + cos10°)
= {2sin50°+ 2sin40°}/(√2)cos5°
= (√2){sin50°+ sin40°}/cos5°
= (√2)[2sin45°cos5°]/cos5°
= (√2)2sin45°
= (√2)2×(√2)/2
= 2
[此解答万无一失]
2sin50°+sin100°(1+根号3*tan370°)/根号1+cos10°
=2sin50+cos10(1+√3tan10)/√(1+cos10)
=2sin50+(cos10+√3sin10)/√(1+cos10)
=2sin50+2(sin30cos10+cos30sin10)/(√2cos5)
=2sin50+√2sin40/cos5
=2si...
全部展开
2sin50°+sin100°(1+根号3*tan370°)/根号1+cos10°
=2sin50+cos10(1+√3tan10)/√(1+cos10)
=2sin50+(cos10+√3sin10)/√(1+cos10)
=2sin50+2(sin30cos10+cos30sin10)/(√2cos5)
=2sin50+√2sin40/cos5
=2sin(45+5)+√2sin(45-5)/cos5
=√2cos5+√2sin5+1-tan5
为节省时间，省略了数字后面的度符号
收起