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 φ such that z = x + i y = r cosφ + i r sinφ for some positive real number r.
• Where r=|z|=sqrt(x^2+y^2) and φ∈(is belongs to) (-Pi(),Pi()].
• The argument of a complex number is calculated by arg(z)= tan^-1(y/x) =theta in radians.
• To change the radian value in to degree we can use DEGREES function or we can multiply the answer with 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