close all
clear all
clc

T = 0.01;
t = 0:T:5;
a = -1;
om = 2*pi;
x = 100*exp((a+1i*om)*t);

figure(1)
subplot(2,1,1)
plot(t,abs(x))
title('abs(x(t))')
grid
subplot(2,1,2)
plot(t,angle(x))
title('angle(x(t))')
grid

figure(2)
subplot(2,1,1)
plot(t,real(x),t,abs(x),t,-abs(x))
grid
title('real(x(t))')
subplot(2,1,2)
plot(t,imag(x),t,abs(x),t,-abs(x))
grid
title('imag(x(t))')


a = 1;
x = 100*exp((a+1i*om)*t);

figure
subplot(2,1,1)
plot(t,abs(x))
title('abs(x(t))')
grid
subplot(2,1,2)
plot(t,angle(x))
title('angle(x(t))')
grid

figure
subplot(2,1,1)
plot(t,real(x),t,abs(x),t,-abs(x))
grid
title('real(x(t))')
subplot(2,1,2)
plot(t,imag(x),t,abs(x),t,-abs(x))
grid
title('imag(x(t))')

a = 0;
x = 100*exp((a+1i*om)*t);

figure
subplot(2,1,1)
plot(t,abs(x))
title('abs(x(t))')
grid
subplot(2,1,2)
plot(t,angle(x))
title('angle(x(t))')
grid

figure
subplot(2,1,1)
plot(t,real(x),t,abs(x),t,-abs(x))
grid
title('real(x(t))')
subplot(2,1,2)
plot(t,imag(x),t,abs(x),t,-abs(x))
grid
title('imag(x(t))')