Then, Is there a general formula for sin^n(x), cos^n(x) ????
Are you guys understand me? I want to eliminate all the exponent on the right hand side. Thanks if someone could answer my question. I really doubt whether this formula exists.
Thanks for reading
Maybe you want to know why I need the expanding formula for sin^n(x) and cos^n(x).
I have learnt Laplace Transform and there is an exercise:
L(sin^5(x)) = ?, is there a general formula for n ? the same for cos^n(x)
It would be easier for me to use Laplace Transform on the expanding formula.
Thanks for helping me.
Jayson, how do you find out that formula?
Did you use Maple or Matlab or MathCad or Mathematica or something like that?
or you found them by yourself with a pen, a paper and a lot of thoughts? please show me!
Thanks
The attached file is my proof for cos^n(x). Any comment is welcome.
Sorry for using PDF format, because I can't get used to using the text format for exponentials.