求tan 派/12-1/tan派/12的值
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求tan 派/12-1/tan派/12的值
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
求tan 派/12-1/tan派/12的值
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