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Formula:2247

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Digital Library of Mathematical Functions ID 4.35.E9

tanh ⁡ u ± tanh ⁡ v = sinh ⁡ ( u ± v ) cosh ⁡ u ⁢ cosh ⁡ v , plus-or-minus 𝑢 𝑣 plus-or-minus 𝑢 𝑣 𝑢 𝑣 {\displaystyle{\displaystyle\tanh u\pm\tanh v=\frac{\sinh\left(u\pm v\right)}{% \cosh u\cosh v},}}


Constraint(s)

Symbols List

  • cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}} : hyperbolic cosine function
  • sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}} : hyperbolic sine function
  • tanh ⁡ z 𝑧 {\displaystyle{\displaystyle\tanh\NVar{z}}} : hyperbolic tangent function
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This page was last edited on 28 January 2024, at 10:30.
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