### Task 1

Plotting a Sine Graph

% Sine curve close all clear clc fs=20; %Sampling frequency in hz. Sampling time is 1/fs f=1; %frequency of sine wave is 30 hz phi=-pi/4; % initial phase w=2*pi*f; %Omega(angular velocity) a=2; %amplitude t=0:1/fs:2*pi; y=a*sin(w*t+phi); figure; plot(t,y); figure; stem(t,y); //Another way

% Sine curve close all clear clc fs=1; %Sampling frequency in hz. Sampling time is 1/fs f=1; %frequency of sine wave is 30 hz phi=-pi/4; % initial phase w=2*pi*f; %Omega(angular velocity) for i=0:5 fs= fs+2; t=0:1/fs:2*pi; y=sin(w*t+phi); figure; plot(t,y); end

### Task 2

Plotting a cosine graph

% Cosine curve close all clear clc fs=10; %Sampling frequency in hz. Sampling time is 1/fs f=1; %frequency of sine wave is 30 hz phi=-pi/4; % initial phase w=2*pi*f; %Omega(angular velocity) a=3; %amplitude t=0:1/fs:2*pi; y=a*cos(w*t+phi); figure; plot(t,y); figure; stem(t,y);

### Task 3

Combination of Sine and cosine (addition and subtraction)

% Combination of sine and Cosine curve close all clear clc fs=100; %Sampling frequency in hz. Sampling time is 1/fs f1=2; %frequency of sine wave is 30 hz phi1=-pi/4; % initial phase w1=2*pi*f1; %Omega(angular velocity) a1=2; %amplitude f2=3; %frequency of sine wave is 30 hz phi2=pi/2; % initial phase w2=2*pi*f2; %Omega(angular velocity) a2=3; %amplitude t=0:1/fs:2; y1=a1*sin(w1*t+phi1); y2=a2*cos(w2*t+phi2); y=y1+y2; % figure; % plot(t,y1); % figure; % plot(t,y2); figure; plot(t,y)

### Task 4

Plotting an exponential graph

% Exponential curves close all clear clc fs=100; %Sampling frequency in hz. Sampling time is 1/fs a=2; %amplitude t=-20:1/fs:2; y=a*exp(t); figure; plot(t,y); figure; stem(t,y);

### Task 5

Plotting a Unit Step Function

% Unit Step function close all clear clc fs=10; %Sampling frequency in hz. Sampling time is 1/fs a=1; %amplitude t=-20:1/fs:20; y=zeros(length(t)); for i=1:length(t) if t(i)<0 y(i)=0; else y(i)=a; end end figure; plot(t,y); ylim([-1 3]) figure; stem(t,y);