what the difference between the phase and arctan?

Hi all

When z=x+iy.

I know (if I am correct ) that tan^-1(y/x) = arctan(y/x) =atan(y/x) = atan2(y,x) we use these expression to find the angle (theta) that calculateing from the positive real axis to the vector between the origen and the point z.

I am really confuse with the phase(z) , I read that

the phase(z)= arctan(y/x) whih the diference that ,

arctan takes values in ]−π/2,π/2[ while the phase is generally defined over ]−π,π].

Is this correct please?

I appriciate any help

Answer 1

[Torsten]

phase(z) = atan2(imag(z),real(z))

Read the documentation for atan2 to find the differences to the usual atan function:

https://de.mathworks.com/help/matlab/ref/atan2.html

[Aisha Mohamed]

Many Thanks Torsten