Find all continuous functions $f$ on $\mathbb{R}$ satisfying $f(x)=f(\sin x)$ for all $x$.
Find all continuous functions $f$ on $\mathbb{R}$ satisfying $f(x)=f(\sin x)$ for all $x$.
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functional-equations
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0I removed the different equations and functional analysis tag. – 2010-11-11
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0Is this homework? – 2010-11-11