- #1
Wishbone
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The problem states:
For -1<p<1 prove that,
a)[tex] \sum p^n \cos nx = (1 - p\cos(x))/(1-2p\cos(x) + p^2)[/tex]
b)[tex] \sum p^n \sin nx = (1 - p\sin(x))/(1-2p\cos(x) + p^2)[/tex]
What I have been doing is searching for some type of expanding series for P^n\sin nx, however, I am pretty stumped
For -1<p<1 prove that,
a)[tex] \sum p^n \cos nx = (1 - p\cos(x))/(1-2p\cos(x) + p^2)[/tex]
b)[tex] \sum p^n \sin nx = (1 - p\sin(x))/(1-2p\cos(x) + p^2)[/tex]
What I have been doing is searching for some type of expanding series for P^n\sin nx, however, I am pretty stumped