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Formula:254

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Digital Library of Mathematical Functions ID 1.9.E10

e i ⁢ θ = cos ⁡ θ + i ⁢ sin ⁡ θ ; superscript 𝑒 𝑖 𝜃 𝜃 𝑖 𝜃 {\displaystyle{\displaystyle e^{i\theta}=\cos\theta+i\sin\theta;}}


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
  • θ 𝜃 {\displaystyle{\displaystyle\theta}} : angle
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This page was last edited on 28 January 2024, at 10:30.
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