- #1

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Hi. I would like to ask regarding this function that keeps on cropping up on my study (see picture below).

What I did is simply substitute values for A and b and I noticed that it ALWAYS results to a real number. If possible, I would like to obtain the "non imaginary" function that is equivalent to this function.

Sadly, I have... no "advanced experience" with regard to dealing with complex functions. Can someone point me to some identity of sorts that would allow me to evaluate this function such that all the imaginary numbers will be canceled?

I tried using Euler's formula then I couldn't do much with it, except knowing that A is cos(x) and +/- 1 is sin(x) (yes, I know. Pathetic lol).

Thank you very much!

What I did is simply substitute values for A and b and I noticed that it ALWAYS results to a real number. If possible, I would like to obtain the "non imaginary" function that is equivalent to this function.

Sadly, I have... no "advanced experience" with regard to dealing with complex functions. Can someone point me to some identity of sorts that would allow me to evaluate this function such that all the imaginary numbers will be canceled?

I tried using Euler's formula then I couldn't do much with it, except knowing that A is cos(x) and +/- 1 is sin(x) (yes, I know. Pathetic lol).

Thank you very much!