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tan(π/12)-(1/tan(π/12))

来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/10/02 02:44:11
tan(π/12)-(1/tan(π/12))
tan(π/12)-(1/tan(π/12))
tan(π/12)-(1/tan(π/12))
=[tan²(π/12)-1]/tan(π/12)
=-2/{2tan(π/12)/[1-tan²(π/12)]}
=-2/[tan(2×π/12)]
=-2/tan(π/6)
=-2/(√3/3)
=-2√3