Difference between revisions of "Manuals/calci/IMCOSH"

Latest revision as of 15:28, 19 July 2018

IMCOSH(ComplexNumber)

This function gives the hyperbolic cosine (cosh) value of a complex number.
Consider 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(ComplexNumber)

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-<div style="font-size:30px">'''IMCOSH(iz)'''</div><br/>
+<div style="font-size:30px">'''IMCOSH(ComplexNumber)'''</div><br/>
-* where iz is the complex number
+* where <math>ComplexNumber</math> is any complex number of the form x+iy.
 ==Description==
 *This function gives the hyperbolic cosine (cosh) value of a complex number.
-*Where 'iz' is the complex number in the form of <math>x+iy</math>
+*Consider  the complex number in the form of <math>x+iy</math>.
 *x & y are the real numbers.
 *'i' is the imaginary unit <math>i=\sqrt{-1}</math>
 *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>
 == Examples ==
-'''IMCOSH(iz)'''
+'''IMCOSH(ComplexNumber)'''
-*'''iz''' is the complex number.
+*'''ComplexNumber''' is any complex number.
 {|id="TABLE1" class="SpreadSheet blue"
 |- class="even"
-|'''IMCOSH(iz)'''
+|'''IMCOSH(ComplexNumber)'''
 |'''Value'''