Difference between revisions of "Manuals/calci/IMCOSH"

Revision as of 12:45, 19 April 2017

IMCOSH(iz)

This function gives the hyperbolic cosine (cosh) value of a complex number.
Where 'iz' is the complex number in the form of $x+iy$
x & y are the real numbers.
'i' is the imaginary unit $i={\sqrt {-1}}$
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.
$Cosh(ix)={\frac {e^{ix}+e^{-ix}}{2}}=Cos(x)$
$cosh(x+iy)$ is defined by $cosh(x+iy)=(cosh(x).cos(y))+i.(sinh(x).sin(y))$

IMCOSH(iz)

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 *Also x is  called the real part & y is the imaginary part of a complex number.
 *[[Manuals/calci/COMPLEX| COMPLEX]] is the function used to convert Real & Imaginary numbers in to a complex number.
+*<math>Cosh(ix)=\frac{e^{ix}+e^{-ix}}{2} = Cos(x)</math>
 *<math>cosh(x+iy)</math> is defined by <math>cosh(x+iy)=(cosh(x).cos(y))+i.(sinh(x).sin(y))</math>