IMARGUMENT(z)
- is the complex number is of the form
- 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
- IMARGUMENT("3-2i")=-0.588002604
- IMARGUMENT("5+6i")=0.876058051
- IMARGUMENT("2")=0
- IMARGUMENT("4i")=1.570796327
- DEGREES(IMARGUMENT("2+2i"))=45