% plot the function y1=sin(t) and  y2=sin(10*t) in the time interval [0 2*pi]

close all
clc
clear all

% define the time vector
time1=linspace(0, 2*pi,50); % time vector in  [0 2 pi] with 50 equispaced elements 
                                            % which are sufficient to plot
                                            % y1 but not for y2
                                               
                                                
% the time period of y2 is equal to 2*pi/10, increase the number of
% elements (points/samples) to plot y2 in [0 2*pi]
time2=linspace(0,2*pi,500); 
                                                
% define y1 
y1=sin(time1);

figure(1)
hold on
grid on
plot(time1,y1,'-k','linewidth',2);
xlabel('time [t]','fontsize',12) % label for x axis
ylabel('y','fontsize',12) %  label for y axis

% define y2
y2=sin(10*time2);
plot(time2,y2,'-r','linewidth',2)
legend({'y=sin(t)','y=sin(10t)'},'fontsize',12)
title('sinusoidal functions')

%%%%%%%%%%%%%%%%%%%%%%%
%%% plots using subplot %%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%

f=figure(2);
subplot(2,1,1)
%%% plot of y=sin(t)
hold on
grid on
plot(time1,y1,'-k','linewidth',2);
ylabel('y_1')
title('y_1=sin(t)');

subplot(2,1,2)
%%% plot of y=sin(10*t)
hold on
grid on
plot(time2,y2,'-r','linewidth',2)
xlabel('t');
ylabel('y_2')
title('y_2=sin(10t)');