Saturday 23 November 2013

Can we obtain the number 2010 from the number 1

Can we obtain the number 2010 from the number 1 by applying any combination of
the functions sine, cosine, tangent, cotangent, arcsine, arccosine, arctangent and arccotangent?
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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, &a...