DLMF:4.24.E15 (Q1809)

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DLMF:4.24.E15
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    Arctan u ± Arctan v = Arctan ( u ± v 1 u v ) , plus-or-minus multivalued-inverse-tangent 𝑢 multivalued-inverse-tangent 𝑣 multivalued-inverse-tangent plus-or-minus 𝑢 𝑣 minus-or-plus 1 𝑢 𝑣 {\displaystyle{\displaystyle\operatorname{Arctan}u\pm\operatorname{Arctan}v=% \operatorname{Arctan}\left(\frac{u\pm v}{1\mp uv}\right),}}
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    DLMF:4.24.E15
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