求tan 派/12-1/tan派/12的值

来源：学生作业学帮网编辑：学帮网时间：2024/04/29 01:03:39

tan(π/12)-1/tan(π/12)
=[sin(π/12)^2-cos(π/12)^2]/[cos(π/12)sin(π/12)]
=-cos(π/6)/(1/2)sin(π/6)
=-2cot(π/6)
=-2√3