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Formula:2103

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Digital Library of Mathematical Functions ID 4.24.E17

Arctan ⁡ u ± Arccot ⁡ v = Arctan ⁡ ( u ⁢ v ± 1 v ∓ u ) = Arccot ⁡ ( v ∓ u u ⁢ v ± 1 ) . plus-or-minus multivalued-inverse-tangent 𝑢 multivalued-inverse-cotangent 𝑣 multivalued-inverse-tangent plus-or-minus 𝑢 𝑣 1 minus-or-plus 𝑣 𝑢 multivalued-inverse-cotangent minus-or-plus 𝑣 𝑢 plus-or-minus 𝑢 𝑣 1 {\displaystyle{\displaystyle\operatorname{Arctan}u\pm\operatorname{Arccot}v=% \operatorname{Arctan}\left(\frac{uv\pm 1}{v\mp u}\right)=\operatorname{Arccot}% \left(\frac{v\mp u}{uv\pm 1}\right).}}


Constraint(s)

Symbols List

  • Arccot ⁡ z multivalued-inverse-cotangent 𝑧 {\displaystyle{\displaystyle\operatorname{Arccot}\NVar{z}}} : general arccotangent function
  • Arctan ⁡ z multivalued-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{Arctan}\NVar{z}}} : general arctangent function
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