Question

Write the codes and plot the graphs of the following sine waves in Matlab:

a. Sin(2πft)

b. 1/3Sin(2π(3f)t)

c. 4/π[Sin(2πft) + 1/3Sin(2π(3f)t]

d. 4[Sin(2πft) + 1/3Sin(2π(3f)t]

Answer 1

%a)Sin(2pift)
%Initialize Time and Frequency
t = 0:0.01:1;
f = 1;

%Sine Function
x1 = sin(2*pi()*f*t);

%Plot
plot(t,x1);
xlabel('time (in seconds)');

%b)1/3 Sin(2pi(3f)t)
%Initialize Time and Frequency
t = 0:0.01:1;
f = 2;

%Sine Function
x2 = (1/3)*sin(2*pi()*3*f*t);

%Plot
plot(t,x2);
xlabel('time (in seconds)');

%c)4/π[Sin(2pift) + 1/3Sin(2pi(3f)t]
%Initialize Time and Frequency
t = 0:0.01:1;
f = 2;

%Sine Function
x3 = (4/pi()) * (sin(2*pi()*f*t) + (1/3)*sin(2*pi()*3*f*t));

%Plot
plot(t,x3);
xlabel('time (in seconds)');

%d)4[Sin(2pift) + 1/3Sin(2pi(3f)t]
%Initialize Time and Frequency
t = 0:0.01:1;
f = 2;

%Sine Function
x4 = (4) * (sin(2*pi()*f*t) + (1/3)*sin(2*pi()*3*f*t));

%Plot
plot(t,x4);
xlabel('time (in seconds)');