# plot a complex sinusoidal function consisting of the sum of 5 sine waves with equal amplitudes

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Sahil Kolambkar on 22 Apr 2022
Answered: Prasanna Konyala on 27 Apr 2022

Compute and plot a complex sinusoidal function consisting of the sum of 5 sine waves with equal amplitudes but whose frequencies are 1,3,5,10, and 20, again for t varying from 0 to 2π.

KSSV on 22 Apr 2022
Show us your code.

Prasanna Konyala on 27 Apr 2022
Hi Sahil
From my understanding, you want to plot the sum of all 5 sinewaves with different frequencies.
Considering amplitude as 1, 100 time samples between 1 and 2*pi. Please go through the below code for a workaround.
[t,totalSum] = s_wave();
plot(t,totalSum);
% function to compute the sum
function [t,totalSum] = s_wave()
% 100 values between 1 and 2*pi
t = linspace(0, 2*pi);
totalSum=zeros(100);
frequency=[1,3,5,10,20];
for index = 1 : length(t)
time = t(index);
sineValues= sin(frequency*time);
totalSum(index) = sum(sineValues);
end
end
Hope this helps.