Manuals/calci/IMARGUMENT

IMARGUMENT(Complexnumber)

is of the form .
- IMARGUMENT(), returns the argument theta, an angle expressed in radians

Description

This function gives the principal value of an argument of a complex-valued expression $z$ .
i.e The angle from the positive axis to the line segment is called the Argument of a complex number.
In this function angle value is in Radians.
Here $IMARGUMENT(Complexnumber)$ , Where Complexnumber in the form of $z=x+iy$ . i.e $x$ & $y$ are the real numbers.
$I$ imaginary unit . $i={\sqrt {-1}}$ .
An argument of the complex number $z=x+iy$ is any real quantity $\phi$ such that $z=x+iy$ = $rcos(\phi )+irsin(\phi )$ for some positive real number $r$ .
Where $r=|z|={\sqrt {x^{2}+y^{2}}}$ and $\phi \in (-\pi ,\pi ]$ .
The argument of a complex number is calculated by $arg(z)=tan^{-1}({\frac {y}{x}})=\theta$ in Radians.
To change the Radian value to Degree we can use DEGREES function or we can multiply the answer with ${\frac {180}{\pi }}$ .
We can use COMPLEX function to convert real and imaginary number in to a complex number.