Question

2sin50+cos10(1+根号3tan10)/根号2cos5

Answer 1

哥算了半个多小时了。看好了。
=2sin50°+cos10°+（根号3）sin10°/根号下2cos5°
=2（sin50°+1/2cos10°+根号3/2sin10°）/根号下2cos5°
=2【sin50°+sin（30°+10°）】/根号下2cos5°
=2（sin50°+sin40°）/根号下2cos5°
关键公式：sin50°+sin40°=2sin【(50°+40)/2】乘以cos【（50°-40°）/2】
=4sin45°cos5°/根号2cos5°
=2
大大给点分，费了好多脑细胞

Answer 2

[2sin50°+cos10°(1+根号3tan10°)]/根号2cos5°
=[2sin50°+2sin(30°+10°)]/√2cos5°
=2sin45°cos5°/√2cos5°
=1

Answer 3

=2sin50+(cos10+根号3sin10)/根号2cos50
=2sin50+根号2sin40/cos50
=2sin50+根号2