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Formula:1807

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Digital Library of Mathematical Functions ID 4.15.E1

cos ⁡ ( x + i ⁢ y ) = sin ⁡ ( x + 1 2 ⁢ π + i ⁢ y ) , 𝑥 𝑖 𝑦 𝑥 1 2 𝜋 𝑖 𝑦 {\displaystyle{\displaystyle\cos\left(x+iy\right)=\sin\left(x+\tfrac{1}{2}\pi+% iy\right),}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine 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
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:42.
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