Manuals/calci/IMCOSH

IMCOSH(ComplexNumber)

where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ComplexNumber} is any complex number.

Description

This function gives the hyperbolic cosine (cosh) value of a complex number.
Where 'iz' is the complex number in the form of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x+iy}
x & y are the real numbers.
'i' is the imaginary unit Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=\sqrt{-1}}
Also x is called the real part & y is the imaginary part of a complex number.
COMPLEX is the function used to convert Real & Imaginary numbers in to a complex number.
$Cosh(ix)={\frac {e^{ix}+e^{-ix}}{2}}=Cos(x)$
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle cosh(x+iy)} is defined by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle cosh(x+iy)=(cosh(x).cos(y))+i.(sinh(x).sin(y))}

IMCOSH(ComplexNumber)