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Formula:1791

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Digital Library of Mathematical Functions ID 4.14.E3

cos ⁡ z ± i ⁢ sin ⁡ z = e ± i ⁢ z , plus-or-minus 𝑧 𝑖 𝑧 superscript 𝑒 plus-or-minus 𝑖 𝑧 {\displaystyle{\displaystyle\cos z\pm i\sin z=e^{\pm iz},}}


Constraint(s)

Symbols List

  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 3 March 2024, at 01:42.
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