Difference between revisions of "Manuals/calci/IMCOTH"

Latest revision as of 03:27, 23 October 2020

IMCOTH(ComplexNumber)

This function gives the hyperbolic cotangent (coth) value of a complex number.
Consider the complex number is 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.
$coth(x+iy)$ is defined by $coth(x+iy)=cosh(x+iy)/sinh(x+iy)$

IMCOTH(ComplexNumber)

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''IMCOTH(iz)'''</div><br/>
+<div style="font-size:30px">'''IMCOTH(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 cotangent (coth) value of a complex number.
-*Where 'iz' is the complex number in the form of <math>x+iy</math>
+*Consider the complex number is the form of <math>x+iy</math>
 *x & y are the real numbers.
 *'i' is the imaginary unit <math>i=\sqrt{-1}</math>
@@ Line 13: / Line 13: @@
 == Examples ==
-'''IMCOTH(iz)'''
+'''IMCOTH(ComplexNumber)'''
-*'''iz''' is the complex number.
+*'''ComplexNumber''' is any complex number.
 {|id="TABLE1" class="SpreadSheet blue"
 |- class="even"
-|'''IMCOTH(iz)'''
+|'''IMCOTH(ComplexNumber)'''
 |'''Value'''
 |- class="odd"
 | IMCOTH("7+4i")
-| 0.9999997580237623-i0.0000016453591929519932
+| 0.9999997580237623-0.0000016453591929617989ⅈ
 |- class="even"
 | IMCOTH("7-8i")
-| 0.9999984073584316-i7
+| 0.9999984073584318-4.78798989708284e-7ⅈ
 |- class="odd"
 | IMCOTH("3")
-| 1.004969823313689+i0
+| 1.0049698233136892+0ⅈ
 |}