1
$\begingroup$

I have a problem that I can not understand at all. I know how to calculate taylor/macLaurin for $\cos x$, $\sin x$ and $e^x$ etc. However when I have for example: $\sin x \cos x$ or $\sin x + \cos x$ or $\sin x-\cos x$ I have no idea how am I supposed to calculate this. Could you give me some hints on how to do such thing?

$\endgroup$
  • $\begingroup$ Write down the series for $\sin x$ and $\cos x$, then multiply them out, add them term-by-term, or subtract them term-by-term as needed. $\endgroup$ – Antonio Vargas Feb 8 '14 at 15:03
0
$\begingroup$

If you are interested in this type of functions, then it is useful to convert the functions as linear combinations of the functions $e^{iax}$ and then find the the $n$th derivative which you need to construct Taylor series. If you are interested in more general techniques, see section 6.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.