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Agustín Valverde Ramos edited Soluci_n_Tenemos_que_demostrar__.md
over 8 years ago
Commit id: 45c1578835feeed9ceda78d7f40452c2b7219a53
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diff --git a/Soluci_n_Tenemos_que_demostrar__.md b/Soluci_n_Tenemos_que_demostrar__.md
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Solución: Tenemos que demostrar que \(P(\pi/5)=0\)
\[
\begin{aligned}
P(\pi/5)&=16\cos^5(\pi/5)-20\cos^3(\pi/5)+5\cos(\pi/5)+1 P(\pi/5)&=\underbrace{16\cos^5(\pi/5)-20\cos^3(\pi/5)+5\cos(\pi/5)}+1 =\\\
&\stackrel{(*)}{=}\cos(5\cdot\pi/5)+1 =\cos\pi+1=-1+1=0
\end{aligned}
\]