求值 (cos10°+根号3sin10°)/cos50°

分类: 作业答案 • 2021-12-19 14:58:20

问题描述：

答

(cos10°+√3sin10°)/cos50
=2*(1/2cos10+√3/2sin10)/cos50
=2sin(30+10)/cos50
=2sin40/cos50
=2cos50/cos50
=2

答

(cos10°+√3sin10°)/cos50°
=2(1/2*cos10°+√3/2sin10°)/cos50°
=2(cos60°*cos10°+sin60°*sin10°)/cos50°
=2cos50°/cos50°
=2