I need to setup a MATLAB FUNCTION for taylor series of cos(X)

I need to setup a function where MATLAB will take two input values one for angle (x) and one for numeric position (n) and it should return a double floating number which is the approximation of the series where x is in radians. Thank you in advance.

[Image Analyst]

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Answer 1

[Rangesh]

Hi John,

I understand that you want to write a function to find the taylor series of cos(x). Here have attached the following code for your reference.

function result = taylorCos(angle, numTerms)
x = angle;
n = numTerms;
% Initialize the sum and the first term of the series
sum = 1;
term = 1;
% Compute the remaining terms of the series
for k = 1:n   
    term = (-1)^k * x^(2*k) / factorial(2*k);    
    sum = sum + term;    
end
% Return the result
result = sum;
end

This code defines a MATLAB function called `taylorCos` that calculates the Taylor series expansion of the cosine function. It takes two inputs: `angle`, which represents the angle in radians for which the series is computed, and `numTerms`, which specifies the number of terms in the series.

The output will be the approximation of `cos(angle)` using the Taylor series expansion. Additional information on the Taylor series and how to use MATLAB functions can be found in the provided links.

• https://en.wikipedia.org/wiki/Taylor_series

• https://www.mathworks.com/help/matlab/ref/function.html

I hope this resolves your query.

Thanks,

Rangesh.