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Dear Prof Scott

en.wikipedia.org/wiki/Fourier_transform

www.thefouriertransform.com

www.youtube.com/watch?v=vQLH7qTeJRM

en.wikipedia.org/wiki/Fourier_series

Can we extend Fourier transform equations to all trigonometric functions ?.

viz Tan, Cot, Sec, Cosec other than Sin, Cosine

Can the Fourier series be applied to other trigonometric functions ?.

viz Tan, Cot, Sec, Cosec other than Sin, Cosine

Thanks & Regards,

Prashant S Akerkar

1) For this question, do you mean doing a Fourier transform

with a trig function instead of an exponential?

I'm not sure I see the difference between this and the next question.

2) It says it can be applied to all functions. Integrating a trigonometric function after multiplying by an e^x would require to integrating by parts twice and then adding the negative of the original integral to the left side. After that, divide by 2 and there's the answer.

Note 1: there may be some other stuff that needs to be done

Note 2: not all functions can be integrated when they get to messy

To do this, convert all trig functions to sin() and cos().

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