tan(π/6-α)+tan(π/6+α)+√3tan(π/6-α)tan(π/6+α)=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 21:48:29

tan(π/6-α)+tan(π/6+α)+√3tan(π/6-α)tan(π/6+α)=?
tan(π/6-α)+tan(π/6+α)+√3tan(π/6-α)tan(π/6+α)=?

tan(π/6-α)+tan(π/6+α)+√3tan(π/6-α)tan(π/6+α)=?
(π/6-α)+(π/6+α)=π/3
tan(π/3)=√3

即 √3=[tan(π/6-α)+tan(π/6+α)]/[1-tan(π/6-α)tan
(π/6+α)]
所以为√3

根号三