I need help in MATLAB code for general tan function with taylor series

I cant understand the B term in the formula and also doesnt know how to code this properly for

I just need help in recognizing this B term I will make the code myself

I have searched everywhere but doesnt seem to understand this term

[Haseeb Hashim]

Any type of help will be appreciated

Answer 1

[Jan]

Bn are the Bernoulli numbers: https://en.wikipedia.org/wiki/Bernoulli_number

WikiPedia is the first point to start a search for mathemtical questions: https://en.wikipedia.org/wiki/Trigonometric_function#Power_series_expansion . Here you find a hint to Bn also.

[Haseeb Hashim]

I have visited the page but cant understand what are they please can you give any hint

[Haseeb Hashim]

Thankyou again Jan. I have found that MATLAB already has the bernoulli numbers stored we just need to access them depending upon the indice i-e bernoulli(2) or bernoulli(4) etc.

Thanks you are always helpful

Answer 2

[Sam Chak]

Hi @Haseeb Hashim

If we are looking at the same source, then you should be able to view this:

https://en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions

[Haseeb Hashim]

yes but what are they and how to calculate them

[Sam Chak]

I see. I don't know that you know about Bernoulli numbers. From your description about having searched everywhere, I thought you overlooked the at the bottom from your attached image, and tried to point to you where to look at them, so that you can find it in MathWorks Help Center.

https://www.mathworks.com/help/symbolic/sym.bernoulli.html

[Haseeb Hashim]

Thanks, After some research I understood these numbers. MATLAB also have these numbers in an array called bernoulli we can access from these

Thanks for helping man

[Sam Chak]

Don't mention it, @Haseeb Hashim. More importantly, you have learned something today. A small achievement to move forward!