tan(-α +3/2派)

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tan(-α+3/2派)tan(-α+3/2派)tan(-α+3/2派)tan(-α+3/2π)=tan(2π-π/2-α)=tan(-α-π/2)=-tan(α+π/2)=-sin(α+π/2)/c

tan(-α +3/2派)
tan(-α +3/2派)

tan(-α +3/2派)
tan(-α +3/2π)
=tan(2π-π/2-α )
=tan(-α -π/2)
=-tan(α +π/2)
=-sin(α +π/2)/cos(α +π/2)
=sinα/cosα
=tanα

tan(-α +3/2π)
=tan[(-α +3/2π)-π]
=tan(1/2π-α )
=cotα