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Formula:1931

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Digital Library of Mathematical Functions ID 4.21.E23

tan ⁡ z 2 = ± ( 1 - cos ⁡ z 1 + cos ⁡ z ) 1 / 2 = 1 - cos ⁡ z sin ⁡ z = sin ⁡ z 1 + cos ⁡ z . 𝑧 2 plus-or-minus superscript 1 𝑧 1 𝑧 1 2 1 𝑧 𝑧 𝑧 1 𝑧 {\displaystyle{\displaystyle\tan\frac{z}{2}=\pm\left(\frac{1-\cos z}{1+\cos z}% \right)^{1/2}=\frac{1-\cos z}{\sin z}=\frac{\sin z}{1+\cos z}.}}


Constraint(s)

Symbols List

  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • tan ⁡ z 𝑧 {\displaystyle{\displaystyle\tan\NVar{z}}} : tangent 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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