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Formula:2297

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Digital Library of Mathematical Functions ID 4.35.E34

sinh ⁡ z = sinh ⁡ x ⁢ cos ⁡ y + i ⁢ cosh ⁡ x ⁢ sin ⁡ y , 𝑧 𝑥 𝑦 𝑖 𝑥 𝑦 {\displaystyle{\displaystyle\sinh z=\sinh x\cos y+i\cosh x\sin y,}}


Constraint(s)

Symbols List

  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}} : hyperbolic cosine function
  • sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}} : hyperbolic sine function
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • y 𝑦 {\displaystyle{\displaystyle y}} : real variable
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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