How to separate imaginary and real parts from the equation..​..........​.....Pleas help

I have the following equation(p) and I want to separate out real and imag parts

 syms a b
 p=(a+1i*b)*3.142*tan((a+1i*b)*3.142)-1i*1.23*340*sqrt((a+1i*b)^2*3.142^2+(3.142/0.8)^2+(3.142/0.6)^2)

How to do this...?

Answer 1

[Walter Roberson]

real(p) and imag(p)

However, the results are not going to be "nice"

[Walter Roberson]

This is difficult to separate. The real part involves a component which is the imaginary part of sqrt(144*(a+I*b)^2*Pi^2+625*Pi^2) and the imaginary part involves a component which is the real part of the same quantity. Separating this further is hard.

It is possible to get rid of the explicit Real and Imaginary taking by rewriting in terms of abs() and simplifying. However you still end up working with imaginary quantities, even if you can demonstrate that afterwards the imaginary parts must cancel.