Difference between revisions of "Weierstrass factorization of sine"

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<strong>[[Weierstrass factorization of sine|Proposition]]:</strong> [[Sine|$\sin$]]$(x) = x \displaystyle\prod_{k=1}^{\infty} \left( 1 - \dfrac{x^2}{k^2\pi^2} \right)$
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<strong>[[Weierstrass factorization of sine|Proposition]]:</strong> The [[Weierstrass factorization]] of [[Sine|$\sin(x)$]] is
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$$\sin(x) = x \displaystyle\prod_{k=1}^{\infty} \left( 1 - \dfrac{x^2}{k^2\pi^2} \right).$$
 
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<strong>Proof:</strong> █  
 
<strong>Proof:</strong> █  
 
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Revision as of 05:04, 20 March 2015

Proposition: The Weierstrass factorization of $\sin(x)$ is $$\sin(x) = x \displaystyle\prod_{k=1}^{\infty} \left( 1 - \dfrac{x^2}{k^2\pi^2} \right).$$

Proof: