Formula:1973

Digital Library of Mathematical Functions ID 4.21.E42

${\displaystyle{\displaystyle|\cos z|=({\cos^{2}}x+{\sinh^{2}}y)^{1/2}=\left(\tfrac{1}{2}(\cosh\left(2y\right)+\cos\left(2x\right))\right)^{1/2},}}$

Symbols List

• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\cosh\NVar{z}}}$: hyperbolic cosine function
• ${\displaystyle{\displaystyle\sinh\NVar{z}}}$: hyperbolic sine function
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle y}}$: real variable
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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