My function:
$$sin(wt-jT) \tag{1}$$
where $j$ - complex unit, $T=0.1,\ w=8 \pi,\ t=[0,0.01,0.02..100]$
I transform it to function with real arguments:
$$\sin(wt)\cosh(T)+j\cos(wt)\sinh(T) \tag{2}$$
Then I calculate module:
$$\sqrt{|\sin(wt)cosh(T)|^2+|\cos(wt)sinh(T)|^2} \tag{3}$$
And plotted it together:
- real part :$\sin(wt)\cosh(T)$
- imaginary part :$\cos(wt)\sinh(T)$
- their module :$(3)$
I want to know the module $(3)$ correspond to graphical representation of the function $(1)$ or not?
My output:
