Manuals/calci/IMARGUMENT

IMARGUMENT(z)

• $z$ is the complex number is of the form $x+iy$
• $n$ is the order of the Bessel function and is an integer

Description

• This function gives the principal value of the argument of the 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(z), Where $z$ is the complex number in the form of $x+iy$. 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 $\psi$ such that $z=x+iy$ = Failed to parse (syntax error): {\displaystyle r cosφ + i r sinφ} for some positive real number $r$.
• Where $r=|z|={\sqrt {x^{2}+y^{2}}}$ and $\psi \in [(-\Pi (),\Pi ()]<math>.*Theargumentofacomplexnumberiscalculatedby<math>arg(z)=tan^{-1}({\frac {y}{x}})=\theta <math>inRadians.*TochangetheRadianvaluetoDegreewecanuseDEGREESfunctionorwecanmultiplytheanswerwith<math>{\frac {180}{\pi }}$.
• We can use COMPLEX function to convert real and imaginary number in to a complex number.

Examples

1. IMARGUMENT("3-2i") = -0.588002604
2. IMARGUMENT("5+6i") = 0.876058051
3. IMARGUMENT("2") = 0
4. IMARGUMENT("4i") = 1.570796327
5. DEGREES(IMARGUMENT("2+2i")) = 45

References

Bessel Function