Difference between revisions of "Manuals/calci/IMSIN"

Latest revision as of 14:49, 18 July 2018

IMSIN (ComplexNumber)

is any complex number of the form x+iy.
- IMSIN(),returns the sine of a complex number.

This function gives the sin value of any 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.
$sin(x+iy)$ is defined by $sin(x+iy)=sin(x)cosh(y)-icos(x)sinh(y)$

IMSIN (ComplexNumber)

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''IMSIN(iz)'''</div><br/>
+<div style="font-size:30px">'''IMSIN (ComplexNumber) '''</div><br/>
-* where iz is the complex number
+*<math>ComplexNumber</math> is any complex number of the form x+iy.
+**IMSIN(),returns the sine of a complex number.
 ==Description==
+*This function gives the sin value of any complex number.
-*This function gives the sin value of 'iz'.
+*Consider the complex number in the form of <math>x+iy</math>
-*Where 'iz' is 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>
@@ Line 12: / Line 13: @@
 == Examples ==
-'''IMSIN(iz)'''
+'''IMSIN (ComplexNumber)'''
-*'''iz''' is the complex number.
+*'''ComplexNumber''' is any complex number.
 {|id="TABLE1" class="SpreadSheet blue"
 |- class="even"
-|'''IMSIN(iz)'''
+|'''IMSIN(ComplexNumber)'''
 |'''Value'''
 |- class="odd"
 | IMSIN("4+5i")
-| -56.162-i48.502
+| -56.16227422023234-ⅈ48.5024552417709
 |- class="even"
 | IMSIN("4-5i")
-| 56.162-i48.502
+| -56.16227422023234+ⅈ48.5024552417709
 |- class="odd"
 | IMSIN("4")
-| 0.756802
+| -0.7568024953079282+ⅈ0
 |}
@@ Line 49: / Line 50: @@
 *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 *[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]