tan(x+π/4)+tan(x-π/4)化简得

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/29 14:17:25

tan(x+π/4)+tan(x-π/4)
设a=x+π/4,则x-π/4=a-π/2
原式=tana+tan(a-π/2)
=tana-cota
=sina/cosa-cosa/sina
=-2cos2a/sin2a
=-2cot2a
=-2cot(2x+π/2)
=2cot(-2x-π/2)
=2cot(π/2-2x)
=2tan2x

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