(tan10°-根号3)×cos10°÷sin50°

来源:学生作业帮助网 编辑:六六作业网 时间:2024/09/01 04:57:44
(tan10°-根号3)×cos10°÷sin50°(tan10°-根号3)×cos10°÷sin50°(tan10°-根号3)×cos10°÷sin50°=[sin10°/cos10°-√3]cos

(tan10°-根号3)×cos10°÷sin50°
(tan10°-根号3)×cos10°÷sin50°

(tan10°-根号3)×cos10°÷sin50°
=[sin10°/cos10°-√3]cos10°/sin50°
=[sin10°-√3cos10°]/sin50°
=2[sin10°cos60°-cos10°sin60°]/sin50°
=2sin(10°-60°)/sin50°
=-2

原式=(sin10°- 根号3 ×cos10°)÷sin50°
=2×sin(10°-60°)÷sin50°
= -2